{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# <center> Lecture9 : Bayes Factor </center>  \n",
    " \n",
    "## <center> Instructor: Dr. Hu Chuan-Peng </center> "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 回顾\n",
    "\n",
    "上节课我们结合随机点运动范式，使用一个简单线性模型讲了一个相对完整的贝叶斯分析的workflow。\n",
    "\n",
    "然而，对于贝叶斯推断来说，除了 HDI 以及 HDI+ROPE 外，我们还在第七节课中介绍过另一种在心理学中常用的方式：**贝叶斯因子 (Bayes Factor, BF)**。\n",
    "\n",
    "![Image Name](https://cdn.kesci.com/upload/sms4lt6fnj.png?imageView2/0/w/720/h/960)\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "本节课将从心理学的视角，介绍贝叶斯因子的基本概念、优势及其在心理学研究中的应用：\n",
    "\n",
    "**Outline**\n",
    "\n",
    "1. 传统假设检验方法\n",
    "2. 贝叶斯因子基本概念\n",
    "3. 贝叶斯因子计算与应用\n",
    "   - Testing against the point-null\n",
    "   - Testing against a null-region\n",
    "   - 练习：Directional hypotheses\n",
    "4. 第二次小作业"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 传统的假设检验方法\n",
    "\n",
    "🧑‍💻在学习贝叶斯因子前，简单回顾传统统计中的零假设显著性检验（Null Hypothesis Significance Test, NHST）。\n",
    "\n",
    "频率学派的假设检验主要是基于概率性质的反证法所实现的推论统计方法。即承认如下前提:小概率事件(发生概率小于0.05的事件)在单次抽样中不会发生。\n",
    "\n",
    "在传统的假设检验框架中，研究者需要根据研究对总体做互斥的两种假设，即零假设$H_0$和备择假设$H_1$：\n",
    "> **零假设（Null Hypothesis，$H_0$）**：表示没有效应或差异的假设。在许多情况下，零假设代表“无差异”或“无效应”，例如认为两组数据的均值没有显著差异。\n",
    "\n",
    "> **备择假设（Alternative Hypothesis，$H_1$）**：表示零假设不成立时的假设，通常认为有显著效应或差异。\n",
    "\n",
    "传统假设检验的核心概念还包括：\n",
    "\n",
    "- **Alpha（$\\alpha$）**：显著性水平，通常设定为 0.05，表示在零假设（$H_0$）成立的情况下，错误拒绝零假设（$H_0$）的概率。换句话说，alpha（$\\alpha$）是我们愿意接受的第一类错误概率（假阳性）。\n",
    "- **$P$值**：是指在零假设成立的前提下，观察到当前或更极端数据的概率。如果 $P$ 值小于等于 $\\alpha$，传统统计学的框架下通常会拒绝零假设，认为数据提供了足够的证据支持备择假设。\n",
    "\n",
    "- 传统的假设检验方法主要依赖于 $P$ 值，这一方法在统计学中应用广泛，但也存在多个问题：\n",
    "    1. **假阳性结果**：研究者可能会通过操纵p值来达到显著性，如增加样本量或调整变量，这会导致假阳性结果，误导后续研究。    \n",
    "    2. **忽视效应大小**：$P$ 值无法提供效应大小的信息，仅仅是显著与否的二分判断，不能全面反映数据的实际意义。       \n",
    "    3. **不考虑先验信息**：传统假设检验忽略了先验知识和理论背景，仅关注数据本身，无法有效利用已有的研究成果。\n",
    "    4. **无法为直接为零假设提供支持**：不显著结果不代表零假设为真。\n",
    "\n",
    "<p align=\"center\">\n",
    "  <img src=\"https://cdn.kesci.com/upload/smw36cj13b.png?imageView2/0/w/480/h/960\" alt=\"Image Name\">\n",
    "</p>\n",
    "\n",
    "\n",
    "> 胡传鹏等(2018). 贝叶斯因子及其在JASP中的实现. *心理科学进展* \\\n",
    "> 吴凡, 顾全, 施壮华, 高在峰, 沈模卫. (2018). 跳出传统假设检验方法的陷阱——贝叶斯因子在心理学研究领域的应用. *应用心理学*\n",
    "\n",
    "\n",
    "<div style=\"padding-bottom: 50px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 为什么要介绍贝叶斯因子？\n",
    "\n",
    "与传统假设检验方法相比，贝叶斯因子具有以下几方面的优势：\n",
    "\n",
    "1. **对假设一视同仁：** 同时评估$H_0$和$H_1$的可能性，能够为$H_0$提供支持证据，解决传统假设检验难以证明$H_0$成立的问题。  \n",
    "2. **结合先验信息：** 贝叶斯因子分析可以利用先验知识，将前人的研究成果与当前数据结合，提供更为全面的证据评估。       \n",
    "3. **避免*p*值操纵：** 贝叶斯因子的计算基于全数据集，不受单个数据点的影响，能够有效避免p值操纵带来的假阳性结果。      \n",
    "4. **支持多模型比较：** 贝叶斯因子不仅适用于二元假设检验，还可以用于比较多个模型的适用性，提供更为灵活的统计分析工具。\n",
    "5. **可以直接支持零假设**。\n",
    "\n",
    "> 吴凡, 顾全, 施壮华, 高在峰, 沈模卫. (2018). 跳出传统假设检验方法的陷阱——贝叶斯因子在心理学研究领域的应用. *应用心理学*\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 贝叶斯因子（Bayes Factor，BF）的基本概念\n",
    "\n",
    "频率学派将随机事件发生的频率作为一种客观指标，而贝叶斯学派则从观察者的视角出发将概率理解为一种主观不确定性。\n",
    "\n",
    "贝叶斯因子（Bayes Factor，BF）作为一种基于贝叶斯统计的验证方法，主要用于比较零假设（$H_0$）与备择假设（$H_1$）的相对支持程度，其衡量的主要是数据在这两种假设下的解释能力。\n",
    "\n",
    "具体来说，贝叶斯因子可以表示为：\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\text{BF}_{10} &= \\frac{\\text{posterior odds}}{\\text{prior odds}} \n",
    "&= \\frac{P(H_1 | \\text{Data})} {P(H_0 | \\text{Data})} * \\frac {P(H_0)} {P(H_1)} \n",
    "&= \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "其中，$P(Data | H_1)$ 和 $P(Data | H_0)$ 分别表示在备择假设$H_1$和零假设$H_0$下数据的似然值。\n",
    "\n",
    "- Posterior odds：后验概率比\n",
    "- Prior odds：先验概率比\n",
    "- $H_0$：零假设\n",
    "- $H_1$：备择假设\n",
    "\n",
    "> Heck, D. W., Boehm, U., Böing-Messing, F., Bürkner, P.-C., Derks, K., Dienes, Z., Fu, Q., Gu, X., Karimova, D., Kiers, H. A. L., Klugkist, I., Kuiper, R. M., Lee, M. D., Leenders, R., Leplaa, H. J., Linde, M., Ly, A., Meijerink-Bosman, M., Moerbeek, M., … Hoijtink, H. (2023). A review of applications of the bayes factor in psychological research. Psychological Methods, 28(3), 558–579. https://doi.org/10.1037/met0000454\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "当然，贝叶斯因子还有一种表达方式，即后验概率比等于贝叶斯因子乘以先验概率比：\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\text{posterior odds} &= \\text{BF}_{10} \\times \\text{prior odds}\n",
    "\\end{align*}\n",
    "$$\n",
    "\n",
    "这说明，贝叶斯因子不仅反映了数据对假设的支持程度，还反映了先验概率到后验概率变化的程度或证据。\n"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同时，贝叶斯因子分析能够帮助研究者根据现有证据评估不同假设成立的可能性之比，并且在评估证据强度上也有一套独立的标准：\n",
    "\n",
    "|**贝叶斯因子** |**解读**|  \n",
    "|-|-|  \n",
    "|> 100|极强的证据支持$H_1$|  \n",
    "|30 ~ 100|非常强的证据支持$H_1$|  \n",
    "|10 ~ 30|较强的证据支持$H_1$|  \n",
    "|3 ~ 10|中等程度的证据支持$H_1$|  \n",
    "|1 ~ 3|较弱的证据支持$H_1$|  \n",
    "|1|没有证据|  \n",
    "|1/3 ~ 1|较弱的证据支持$H_0$|  \n",
    "|1/10 ~ 1/3|中等程度的证据支持$H_0$|  \n",
    "|1/30 ~ 1/10|较强的证据支持$H_0$|  \n",
    "|1/100 ~ 1/30|非常强的证据支持$H_0$|  \n",
    "|< 1/100|极强的证据支持$H_0$|  \n",
    "\n",
    "\n",
    "> Source: 该表改编自胡传鹏等(2018)，源引用于Lee & Wagenmakers (2014)。\n",
    "\n",
    "* $BF_{10}$ = 1，收集到的数据并没有改变备择假设$H_1$的相对可能性  \n",
    "* $BF_{10}$ > 1，收集到的数据增加了备择假设$H_1$的相对可能性。$BF$越大，表明支持备择假设$H_1$的证据越强  \n",
    "* $BF_{10}$ < 1，收集到的数据削弱了备择假设$H_1$的相对可能性。$BF$越小，表明支持备择假设$H_1$的证据越弱  \n",
    "\n",
    "> 胡传鹏, 孔祥祯, Eric-Jan Wagenmakers, Alexander Ly, 彭凯平. (2018). 贝叶斯因子及其在JASP中的实现. *心理科学进展*\n",
    "\n",
    "> Makowski, D., Ben-Shachar, M. S., & Lüdecke, D. (2019). bayestestR: Describing Effects and their Uncertainty, Existence and Significance within the Bayesian Framework. Journal of Open Source Software, 4(40), 1541. https://doi.org/10.21105/joss.01541\n",
    "\n",
    "> Makowski, D., Ben-Shachar, M. S., Chen, S. H. A., & Lüdecke, D. (2019). Indices of Effect Existence and Significance in the Bayesian Framework. Retrieved from 10.3389/fpsyg.2019.02767\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 贝叶斯因子的计算与应用\n",
    "\n",
    "之前我们已经向大家介绍了 HDI + ROPE (最高密度区间 + 预设效应范围)方法，那么，这节课我们会主要基于贝叶斯因子来进行模型推断的讲解。\n",
    "\n",
    "### 简单线性回归模型的假设检验\n",
    "\n",
    "贝叶斯回归与传统回归模型类似，但它通过先验分布、似然函数和后验分布来进行推断。\n",
    "\n",
    "我们依旧沿用之前自我匹配范式的例子，以**探究两种条件（self与other）下的反应时差异**。\n",
    "\n",
    "$$  \n",
    "\\begin{align*}  \n",
    "\\beta_0   &\\sim N\\left(m_0, s_0^2 \\right)  \\\\  \n",
    "\\beta_1   &\\sim N\\left(m_1, s_1^2 \\right)  \\\\  \n",
    "\\sigma    &\\sim \\text{Exp}(\\lambda)        \\\\  \n",
    "&\\Downarrow \\\\  \n",
    "\\mu_i &= \\beta_0 + \\beta_1 X_i             \\\\  \n",
    "&\\Downarrow \\\\  \n",
    "Y_i | \\beta_0, \\beta_1, \\sigma &\\sim N\\left(\\mu_i, \\sigma^2\\right). \\\\  \n",
    "\\end{align*}  \n",
    "$$  \n",
    "\n",
    "<p align=\"center\">\n",
    "  <img src=\"https://cdn.kesci.com/upload/smkijcu8co.png?imageView2/0/w/640\" alt=\"Image Name\">\n",
    "</p>\n",
    "\n",
    "<div style=\"padding-bottom: 50px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 假设检验 vs. 贝叶斯因子\n",
    "\n",
    "在传统假设检验中，我们会计算出一个 $p$ 值。如果 $p$ 值小于等于设定的显著性水平（例如 0.05），则拒绝零假设，认为自我和他人条件下的反应时存在显著差异。\n",
    "\n",
    "\n",
    "<p align=\"center\">\n",
    "  <img src=\"https://cdn.kesci.com/upload/smw4sakmzz.png?imageView2/0/w/320/h/960\" alt=\"Image Name\">\n",
    "</p>\n",
    "\n",
    "\n",
    "与传统的假设检验方法不同，贝叶斯统计使用 **贝叶斯因子（Bayes Factor，BF）** 来衡量不同模型之间的相对证据强度。贝叶斯因子不是基于 $p$ 值，而是通过比较模型间的后验概率来得出结论。\n",
    "\n",
    "**假设检验：**\n",
    "\n",
    "- **零假设（$H_0$）**：自我和他人条件下的反应时没有显著差异，即 $\\beta_1 = 0$。\n",
    "- **备择假设（$H_1$）**：自我和他人条件下的反应时有显著差异，即 $\\beta_1 \\neq 0$。\n",
    "\n",
    "💡注意：在本课中我们关注的是两个条件之间的差异，因此我们仅重点关注**beta_1**，因为它反映了**self和other条件之间的反应时间差异**。\n",
    "\n",
    "具体而言，**\"贝叶斯因子能用来回答什么问题呢？\"**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "贝叶斯因子非常灵活，因为它不仅可以用于简单的假设检验，还可以用于比较复杂模型、评估模型拟合优度、以及在多模型比较中提供更丰富的信息。\n",
    "\n",
    "**以下是贝叶斯因子常见的三种应用及可能的假设示例：**\n",
    "\n",
    "对于**自变量 （Label）**  **因变量（RT_sec）** 的关系，\n",
    "* 我们的主观猜想是：在self条件下时的反应时间比在other条件下更短。\n",
    "* 在第八节课中，我们的先验设定也反映了我们的主观信念，但是支持我们假设的证据是什么，如何证明？\n",
    "* 如何检验 $\\beta_1 = 0$（零假设）与 $\\beta_1 \\neq 0$（备择假设）之间的关系？\n",
    "\n",
    "我们可以使用贝叶斯因子来比较这两个模型，计算贝叶斯因子 $BF_{10}$，来量化零假设和备择假设之间的证据差异。\n",
    "\n",
    "几种可能去检验研究假设的做法：\n",
    "\n",
    "> 1. 以零效应作为$H_0$，检验自我条件和他人条件之间的差异是否为0（即检验效应是否为零）。\n",
    "> 2. 以零效应及其两侧一定范围为作$H_0$，看看效应落在这个区间的可能性与落在这个区间之外的可能性的相对大小（即零区域）。\n",
    "> 3. 带有特定方向的假设，例如自我条件下的反应时是否比他人条件下短（即具有方向性的假设）。\n",
    "\n",
    "1. **Testing against the point-null**  \n",
    "   \n",
    "   贝叶斯因子可以用来检验某个参数是否等于零，即检验点的零假设。\n",
    "\n",
    "2. **Testing against a null-region** \n",
    "   \n",
    "   有时，我们可能会设定一个“零区域”，即一个参数值的范围，该范围内的值被认为与零没有显著差异。假设我们设定一个区间 $\\beta_1 \\in [-0.05, 0.05]$，认为 $\\beta_1$ 落在这个区间内是可以接受的无效效应。通过贝叶斯因子，我们可以计算数据支持 $\\beta_1$ 在零区域内（$\\beta_1 \\in [-0.05, 0.05]$）或零区域外（$\\beta_1 \\notin [-0.05, 0.05]$）的证据强度。\n",
    "\n",
    "3. **Directional hypotheses**  \n",
    "   \n",
    "   贝叶斯因子也可以用于检验某个参数是否有特定的方向性，即是否存在正向或负向的影响。例如，我们可以提出假设 $H_1: \\beta_1 > 0$，认为自变量 （Label）对因变量（RT_sec）有正向影响。贝叶斯因子将帮助我们评估数据是否支持这种方向性的假设，而不仅仅是支持或拒绝零假设。\n",
    "\n",
    "👏 接下来，我们会通过示例向大家介绍这三种方法。\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Testing Models’ Parameters with Bayes Factor\n",
    "### Testing against the point-null\n",
    "\n",
    "我们可以首先从最简单的假设开始，即假设没有效应，self和other条件下的反应时间相同，即**探究 $\\beta_1$ 是否等于零**🤔\n",
    "\n",
    "当我们检验参数是否等于零时（如检验参数 $\\beta_1 = 0$），这就是点零假设的检验。\n",
    "\n",
    "贝叶斯因子可以帮助我们衡量数据对点零假设与非零假设的支持程度。在回归模型中，我们可以设定一个零假设 $H_0: \\beta_1 = 0$ 和备择假设 $H_1: \\beta_1 \\neq 0$，然后使用贝叶斯因子来计算零假设和备择假设的相对证据。\n",
    "\n",
    "$$\n",
    "BF_{10} = \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)} = \\frac{P(Data|\\beta_1 \\neq 0)}{P(Data|\\beta_1 = 0)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "我们还是以编号为\"201\"的被试数据为例进行演示："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
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       "      <th>index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>0.753</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0.818</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>0.917</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0.717</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>1</td>\n",
       "      <td>0.988</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Label  RT_sec\n",
       "index               \n",
       "0          1   0.753\n",
       "1          1   0.818\n",
       "2          1   0.917\n",
       "3          1   0.717\n",
       "4          1   0.988"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 导入 pymc 模型包，和 arviz 等分析工具 \n",
    "import pymc as pm\n",
    "import arviz as az\n",
    "import scipy.stats as st\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import xarray as xr\n",
    "import pandas as pd\n",
    "\n",
    "# 忽略不必要的警告\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "\n",
    "# 通过 pd.read_csv 加载数据 Kolvoort_2020_HBM_Exp1_Clean.csv\n",
    "try:\n",
    "  df_raw = pd.read_csv('/home/mw/input/bayes3797/Kolvoort_2020_HBM_Exp1_Clean.csv')\n",
    "except:\n",
    "  df_raw = pd.read_csv('/home/jovyan/data/Kolvoort_2020_HBM_Exp1_Clean.csv')\n",
    "\n",
    "# 筛选出被试\"201\"，匹配类型为\"Matching\"的数据\n",
    "df_raw[\"Subject\"] = df_raw[\"Subject\"].astype(str)\n",
    "df = df_raw[(df_raw[\"Subject\"] == \"201\") & (df_raw[\"Matching\"] == \"Matching\")]\n",
    "\n",
    "# 选择需要的两列\n",
    "df = df[[\"Label\", \"RT_sec\"]]\n",
    "\n",
    "# 重新编码标签（Label）\n",
    "df[\"Label\"] = df[\"Label\"].map({1: 0, 2: 1, 3: 1})\n",
    "\n",
    "# #设置索引\n",
    "df[\"index\"] = range(len(df))\n",
    "df = df.set_index(\"index\")\n",
    "\n",
    "# #保存数据\n",
    "# df.to_csv('/home/jovyan/data/Kolvoort_2020_HBM_Exp1_Clean_201.csv', index=False)\n",
    "\n",
    "# 显示部分数据\n",
    "df.head()"
   ]
  },
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   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**根据我们的模型：**\n",
    "\n",
    "$$\n",
    "Y_i \\mid \\beta_0, \\beta_1, \\sigma \\sim \\mathcal{N}(\\mu_i, \\sigma^2)\n",
    "$$\n",
    "\n",
    "**先验（prior）**  \n",
    "\n",
    "* > $\\beta_{0}   \\sim N\\left(5, 2^2 \\right)$  \n",
    "  * > 模型的截距项服从均值为 5，标准差为 2 的正态分布。  \n",
    "* > $\\beta_1   \\sim N\\left(0, 1^2 \\right)$  \n",
    "  * > 模型的斜率项，服从均值为 0，标准差为 1 的正态分布。  \n",
    "* > $\\sigma   \\sim \\text{Exp}(0.3)$  \n",
    "  * > 代表误差项的标准差，服从参数为 0.3 的指数分布。  \n",
    "\n",
    "**似然（likelihood）**  \n",
    "\n",
    "* > $\\mu_i = \\beta_0 + \\beta_1X_i$  \n",
    "* > $Y_i {\\sim} N\\left(\\mu_i, \\sigma^2\\right)$  \n",
    "\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**模型定义：**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 设置随机种子以确保结果可复现\n",
    "np.random.seed(123)\n",
    "\n",
    "with pm.Model() as linear_model:\n",
    "\n",
    "    # 定义先验分布参数\n",
    "    beta_0 = pm.Normal(\"beta_0\", mu=5, sigma=2)        \n",
    "    beta_1 = pm.Normal(\"beta_1\", mu=0, sigma=1)      \n",
    "    sigma = pm.Exponential(\"sigma\", 0.3)                    \n",
    "\n",
    "    # 定义自变量 x\n",
    "    x = pm.MutableData(\"x\", df['Label'])         \n",
    "\n",
    "    # 定义 mu，将自变量与先验结合\n",
    "    mu = beta_0 + beta_1 * x\n",
    "\n",
    "    # 定义似然：预测值y符合N(mu, sigma)分布\n",
    "    likelihood = pm.Normal(\"y_est\", mu=mu, sigma=sigma, observed=df['RT_sec'])  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**后验采样：**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta_0, beta_1, sigma]\n"
     ]
    },
    {
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       "model_id": "3ee218a0a27a47fbb51543d848f48d49",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
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    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 5_000 draw iterations (4_000 + 20_000 draws total) took 4 seconds.\n"
     ]
    }
   ],
   "source": [
    "with linear_model:\n",
    "    trace = pm.sample(draws=5000,                   # 使用mcmc方法进行采样，draws为采样次数\n",
    "                      tune=1000,                    # tune为调整采样策略的次数，可以决定这些结果是否要被保留\n",
    "                      chains=4,                     # 链数\n",
    "                      discard_tuned_samples=True,  # tune的结果将在采样结束后被丢弃\n",
    "                      random_seed=84735)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
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       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray &#x27;beta_1&#x27; (chain: 4, draw: 5000)&gt; Size: 160kB\n",
       "array([[0.13177316, 0.07666741, 0.09362194, ..., 0.04393113, 0.04709769,\n",
       "        0.03134213],\n",
       "       [0.12192661, 0.18360161, 0.15612531, ..., 0.15017128, 0.23781553,\n",
       "        0.07865812],\n",
       "       [0.1271266 , 0.18117234, 0.12317976, ..., 0.11193078, 0.1262922 ,\n",
       "        0.11380131],\n",
       "       [0.10168222, 0.13684209, 0.13684209, ..., 0.12996248, 0.17752178,\n",
       "        0.07182188]])\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 32B 0 1 2 3\n",
       "  * draw     (draw) int64 40kB 0 1 2 3 4 5 6 ... 4994 4995 4996 4997 4998 4999</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'>'beta_1'</div><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 5000</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-37c81670-426b-483a-a894-30508802a749' class='xr-array-in' type='checkbox' checked><label for='section-37c81670-426b-483a-a894-30508802a749' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.1318 0.07667 0.09362 0.146 0.1837 ... 0.1807 0.13 0.1775 0.07182</span></div><div class='xr-array-data'><pre>array([[0.13177316, 0.07666741, 0.09362194, ..., 0.04393113, 0.04709769,\n",
       "        0.03134213],\n",
       "       [0.12192661, 0.18360161, 0.15612531, ..., 0.15017128, 0.23781553,\n",
       "        0.07865812],\n",
       "       [0.1271266 , 0.18117234, 0.12317976, ..., 0.11193078, 0.1262922 ,\n",
       "        0.11380131],\n",
       "       [0.10168222, 0.13684209, 0.13684209, ..., 0.12996248, 0.17752178,\n",
       "        0.07182188]])</pre></div></div></li><li class='xr-section-item'><input id='section-4a619360-4046-4b8b-8ea0-fdc96d8823dc' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4a619360-4046-4b8b-8ea0-fdc96d8823dc' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-0804f7f0-06c6-423c-ae16-35698bf68651' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0804f7f0-06c6-423c-ae16-35698bf68651' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e02d4180-638a-4891-805c-8831afaf9a7d' class='xr-var-data-in' type='checkbox'><label for='data-e02d4180-638a-4891-805c-8831afaf9a7d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1, 2, 3])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 4996 4997 4998 4999</div><input id='attrs-c10d37c0-6a57-428e-8afa-045245358dfb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c10d37c0-6a57-428e-8afa-045245358dfb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e9c7e683-95df-4921-b3da-6b142fe04140' class='xr-var-data-in' type='checkbox'><label for='data-e9c7e683-95df-4921-b3da-6b142fe04140' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([   0,    1,    2, ..., 4997, 4998, 4999])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-392f5d73-45ae-472b-b4ef-cfd3bca4b611' class='xr-section-summary-in' type='checkbox'  ><label for='section-392f5d73-45ae-472b-b4ef-cfd3bca4b611' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-d1dba55b-009d-4c7e-af49-5f83c882b7d9' class='xr-index-data-in' type='checkbox'/><label for='index-d1dba55b-009d-4c7e-af49-5f83c882b7d9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([0, 1, 2, 3], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-e37201cc-29b5-4385-80f5-038ea4b32d38' class='xr-index-data-in' type='checkbox'/><label for='index-e37201cc-29b5-4385-80f5-038ea4b32d38' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "       ...\n",
       "       4990, 4991, 4992, 4993, 4994, 4995, 4996, 4997, 4998, 4999],\n",
       "      dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=5000))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ada6c484-a4dd-4d29-856d-ee50e367d020' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-ada6c484-a4dd-4d29-856d-ee50e367d020' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray 'beta_1' (chain: 4, draw: 5000)> Size: 160kB\n",
       "array([[0.13177316, 0.07666741, 0.09362194, ..., 0.04393113, 0.04709769,\n",
       "        0.03134213],\n",
       "       [0.12192661, 0.18360161, 0.15612531, ..., 0.15017128, 0.23781553,\n",
       "        0.07865812],\n",
       "       [0.1271266 , 0.18117234, 0.12317976, ..., 0.11193078, 0.1262922 ,\n",
       "        0.11380131],\n",
       "       [0.10168222, 0.13684209, 0.13684209, ..., 0.12996248, 0.17752178,\n",
       "        0.07182188]])\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 32B 0 1 2 3\n",
       "  * draw     (draw) int64 40kB 0 1 2 3 4 5 6 ... 4994 4995 4996 4997 4998 4999"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trace.posterior['beta_1']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**MCMC诊断**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x600 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "axes = az.plot_trace(trace)\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>beta_0</th>\n",
       "      <td>0.712</td>\n",
       "      <td>0.036</td>\n",
       "      <td>0.644</td>\n",
       "      <td>0.779</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11213.0</td>\n",
       "      <td>10099.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>beta_1</th>\n",
       "      <td>0.148</td>\n",
       "      <td>0.046</td>\n",
       "      <td>0.062</td>\n",
       "      <td>0.236</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>11214.0</td>\n",
       "      <td>11808.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>0.231</td>\n",
       "      <td>0.016</td>\n",
       "      <td>0.202</td>\n",
       "      <td>0.262</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>12639.0</td>\n",
       "      <td>11744.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "         mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  \\\n",
       "beta_0  0.712  0.036   0.644    0.779        0.0      0.0   11213.0   10099.0   \n",
       "beta_1  0.148  0.046   0.062    0.236        0.0      0.0   11214.0   11808.0   \n",
       "sigma   0.231  0.016   0.202    0.262        0.0      0.0   12639.0   11744.0   \n",
       "\n",
       "        r_hat  \n",
       "beta_0    1.0  \n",
       "beta_1    1.0  \n",
       "sigma     1.0  "
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(trace)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Arviz 实现计算贝叶斯因子\n",
    "\n",
    "现在，我们有了 $beta_1$ 的先验分布和后验分布，我们分别计算贝叶斯因子 $BF_{10}$ 和 $BF_{01}$，分别表示数据支持备择假设和零假设的证据强度。\n",
    "\n",
    "在 Python 的 Arviz 库中，`arviz.plot_bf` 函数提供了直接计算贝叶斯因子的方法，并且可以对先验和后验分布在零假设点处的概率密度值进行可视化。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling: [beta_0, beta_1, sigma, y_est]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import seaborn as sns\n",
    "\n",
    "# 进行贝叶斯因子计算，需要采样先验分布\n",
    "with linear_model:\n",
    "    trace.extend(pm.sample_prior_predictive(5000, random_seed=84735) )\n",
    "\n",
    "# 绘制贝叶斯因子图\n",
    "az.plot_bf(trace, var_name=\"beta_1\", ref_val=0)\n",
    "\n",
    "# 设置 x 轴的范围\n",
    "plt.xlim(-0.5, 0.5) \n",
    "\n",
    "# 去除上框线和右框线\n",
    "sns.despine()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过上图我们可以发现：\n",
    "\n",
    "1. $BF_{10} = 5.46$：表示数据支持$H_1$的强度相对于$H_0$设为 5.46。\n",
    "2. $BF_{01} = 0.18$：表示数据支持$H_0$的强度相对于$H_1$为 0.18。\n",
    "   \n",
    "总结：通过贝叶斯因子的计算，对于数据倾向于支持 $\\beta_1 \\neq 0$，即存在效应提供了中等强度的证据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 与 JASP 的对比\n",
    "\n",
    "在 Python 中，我们利用 Arviz 来计算贝叶斯因子，通过直接比较先验和后验分布在零点的密度差异来检验某个效应是否为零。\n",
    "\n",
    "然而，[JASP（Jeffreys's Amazing Statistics Program）](https://jasp-stats.org/)提供了一种不同的方法来计算贝叶斯因子：\n",
    "\n",
    "* JASP 是一个基于 R 语言的开源软件，以其易用性和友好的图形界面广受欢迎，主要用于心理学、社会学等领域的统计分析。\n",
    "* JASP 使用贝叶斯模型来计算贝叶斯因子，包括模型比较和桥采样法（Bridge Sampling）等技术，能够通过计算后验和先验分布的比值，评估不同模型或假设的相对支持程度。与 Savage-Dickey 方法不同，桥采样不局限于单参数或简单假设，因此更适合模型比较和复杂假设检验。\n",
    "\n",
    "**Python 版本的 JASP 实现**\n",
    "\n",
    "在 Python 中，虽然没有官方的 JASP API，但我们可以使用 `arviz.compare` 实现类似 JASP 中模型比较的方法来计算贝叶斯因子。\n",
    "\n",
    "* 需要注意的是，要计算贝叶斯因子，需要获得模型的边际似然（Marginal Likelihood），即模型中所有参数的联合似然。\n",
    "  \n",
    "* PyMC 提供了 `pm.compute_log_likelihood` 方法，可以计算模型中所有参数的联合似然。\n",
    "\n",
    "> 在`arviz.compare()`的输出中，没有直接提供贝叶斯因子（BF）的值。贝叶斯因子是用来比较模型的似然（或后验概率）的一种度量，可以通过**权重(weight)** 来间接理解模型的相对优劣，但它不是直接的贝叶斯因子。\n",
    "\n",
    "> $$\\text{BF}_{10} = \\frac{\\text{weight of model 1}}{\\text{weight of model 2}}$$\n",
    "\n",
    "**注意：由于这里的方法基于模型比较，它更适合模型比较和复杂假设检验，因此和 Savage-Dickey 方法不同。**\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "但可以看到两者结果的结论基本是一致的：$BF_{10}(SD方法)=5.16$；$BF_{10}(模型比较)=10.10$\n",
    "\n",
    "注意：在JASP的实际运算中，软件会自动调整先验，因此与我们设置的先验不同，计算得到的贝叶斯因子也会有所不同。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta_0, sigma]\n"
     ]
    },
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      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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     },
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    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 5_000 draw iterations (4_000 + 20_000 draws total) took 3 seconds.\n"
     ]
    },
    {
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       "Output()"
      ]
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     "output_type": "display_data"
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     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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     },
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     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [beta_0, beta_1, sigma]\n"
     ]
    },
    {
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       "model_id": "4c1e8057d09341fa9ca23be2ff9b9eba",
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       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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     },
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 5_000 draw iterations (4_000 + 20_000 draws total) took 5 seconds.\n"
     ]
    },
    {
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       "Output()"
      ]
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     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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    }
   ],
   "source": [
    "# 定义零假设模型（仅包含截距的模型）\n",
    "with pm.Model() as model_H0:\n",
    "\n",
    "    beta_0 = pm.Normal(\"beta_0\", mu=5, sigma=2)        \n",
    "    sigma = pm.Exponential(\"sigma\", 3)                    \n",
    "    mu = beta_0\n",
    "    likelihood = pm.Normal(\"y_est\", mu=mu, sigma=sigma, observed=df['RT_sec'])  \n",
    "    trace_H0 = pm.sample(draws=5000, tune=1000, chains=4,discard_tuned_samples=True, random_seed=84735)\n",
    "    pm.compute_log_likelihood(trace_H0)\n",
    "\n",
    "# 定义备择假设模型（包含截距和斜率的模型）\n",
    "with pm.Model() as model_H1:\n",
    "    \n",
    "    beta_0 = pm.Normal(\"beta_0\", mu=5, sigma=2)        \n",
    "    beta_1 = pm.Normal(\"beta_1\", mu=0, sigma=1)      \n",
    "    sigma = pm.Exponential(\"sigma\", 3)                    \n",
    "    x = pm.MutableData(\"x\", df['Label'])         \n",
    "    mu = beta_0 + beta_1 * x\n",
    "    likelihood = pm.Normal(\"y_est\", mu=mu, sigma=sigma, observed=df['RT_sec'])  \n",
    "    trace_H1 = pm.sample(draws=5000, tune=1000, chains=4,discard_tuned_samples=True, random_seed=84735)\n",
    "    pm.compute_log_likelihood(trace_H1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "贝叶斯因子 (BF_10): 10.215337370446825\n"
     ]
    }
   ],
   "source": [
    "# 计算贝叶斯因子\n",
    "model_compare = az.compare({\"Label\": trace_H0, \"Null model\": trace_H1}, method='BB-pseudo-BMA')\n",
    "weight_H0 = model_compare.loc[\"Label\", \"weight\"]\n",
    "weight_H1 = model_compare.loc[\"Null model\", \"weight\"]\n",
    "BF_10 = weight_H1 / weight_H0\n",
    "print(f\"贝叶斯因子 (BF_10): {BF_10}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Testing against a null-region\n",
    "\n",
    "现在，我们证实了$\\beta_1 \\neq 0$，即自我和他人条件对于反应时间有差异，但这个差异会不会非常小，是否在我们认为可以忽略的区间内呢？\n",
    "\n",
    "\n",
    "**回顾 ROPE**\n",
    "\n",
    "* 在之前的课程中，我们讨论过如何使用 HDI 和 ROPE 来进行假设检验。\n",
    "* 我们假设了 $\\beta_1$ 的值在 $[-0.05, 0.05]$ 范围内可以视为实用等效区间，也就是说，\n",
    "* 如果 $\\beta_1$ 落在这个区间内，我们可以认为 self 和 other 条件之间的反应时间差异可以忽略不计，从而在实践上认为两者无显著差异。  \n",
    "\n",
    "**ROPE 对于贝叶斯因子的意义**\n",
    "\n",
    "* 在假设检验中，设定一个“零区域”（null region）可以帮助我们定义一个在实际意义上视为“无效”的效果范围。\n",
    "* 通过设定零区域，我们可以计算先验概率和后验概率，进而计算贝叶斯因子来量化数据对假设的支持强度。\n",
    "* 我们可以计算 \"label\" 条件下反应时间差异落在零假设区间之外的先验概率，以及落在零假设区间之内的先验概率，从而得到我们的先验概率比（prior odds）。\n",
    "\n",
    "$$\n",
    "BF_{10} = \\frac{P(\\text{Data} | H_1)}{P(\\text{Data} | H_0)} = \\frac{P(Data|\\beta_1 \\notin [-0.05,0.05])}{P(Data|\\beta_1 \\in [-0.05,0.05])}\n",
    "$$\n",
    "\n",
    "<div style=\"padding-bottom: 30px;\"></div>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于 arviz 没有提供直接计算区间假设检验的方法，因此需要我们自己实现。\n",
    "\n",
    "根据上面公式，贝叶斯因子由两部分组成：先验概率比 + 后验概率比。\n",
    "\n",
    "> 参考资料：https://easystats.github.io/bayestestR/articles/bayes_factors.html#testing-against-a-null-region\n",
    "\n",
    "下面我们先计算先验概率比。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def calculate_odds(tace_samples, region = [-0.05, 0.05]):\n",
    "    \n",
    "    # 计算区间 [-0.05, 0.05] 内的样本\n",
    "    in_range = tace_samples[(tace_samples >= region[0]) & (tace_samples <= region[1])]\n",
    "\n",
    "    # 计算区间外的样本\n",
    "    out_of_range = tace_samples[(tace_samples < region[0]) | (tace_samples > region[1])]\n",
    "\n",
    "    # 计算区间内外的比例\n",
    "    P_in_range = len(in_range) / len(tace_samples)\n",
    "    P_out_of_range = len(out_of_range) / len(tace_samples)\n",
    "\n",
    "    # 计算比率\n",
    "    ratio = P_out_of_range / P_in_range\n",
    "    return ratio\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "先验概率比（prior odds）: 24.0000\n"
     ]
    }
   ],
   "source": [
    "prior_samples = trace.prior['beta_1'].values.reshape(-1)\n",
    "\n",
    "prior_odds = calculate_odds(prior_samples, region=[-0.05, 0.05])\n",
    "\n",
    "print(f\"先验概率比（prior odds）: {prior_odds:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "\n",
    "\n",
    "def plot_region(trace_samples, region=[-0.05,0.05], dist_type=\"Prior\", ax=None):\n",
    "    \n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    \n",
    "    kde = sns.kdeplot(trace_samples, color=\"black\", linewidth=2, ax=ax)\n",
    "\n",
    "    # 获取核密度估计的曲线数据\n",
    "    x, y = kde.get_lines()[0].get_data()\n",
    "\n",
    "    # 高亮 [-0.05, 0.05] 区间的密度\n",
    "    ax.fill_between(\n",
    "        x, y,\n",
    "        where=(x >= region[0]) & (x <= region[1]),\n",
    "        color=\"blue\",\n",
    "        alpha=0.3,\n",
    "        label=\"Null\"\n",
    "    )\n",
    "\n",
    "    # 高亮区间之外（替代区域）\n",
    "    ax.fill_between(\n",
    "        x, y,\n",
    "        where=(x < region[0]) | (x > region[1]),\n",
    "        color=\"yellow\",\n",
    "        alpha=0.3,\n",
    "        label=\"Alternative\"\n",
    "    )\n",
    "\n",
    "    # 图例和标题\n",
    "    ax.set_title(f\"{dist_type} Distribution with Null Region\")\n",
    "    ax.set_ylabel(\"Density\")\n",
    "    ax.legend(title=f\"{dist_type} regions\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6,4))\n",
    "\n",
    "plot_region(prior_samples,ax=ax)\n",
    "\n",
    "sns.despine()\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "此时，我们可以通过计算后验概率比（Posterior Odds），评估数据更新后参数值在零假设区间内和区间外的相对支持程度。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "后验概率比（posterior odds）: 55.1798\n"
     ]
    }
   ],
   "source": [
    "posterior_samples = trace.posterior['beta_1'].values.reshape(-1)\n",
    "\n",
    "posterior_odds = calculate_odds(posterior_samples, region=[-0.05, 0.05])\n",
    "\n",
    "print(f\"后验概率比（posterior odds）: {posterior_odds:.4f}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Nnj/H2/j5+eH8+fPYvHmzdKnBwsICTZs2xZIlS/Do0aM8XYLQ5rl/mw8++AC1a9fG+PHjNe4OAfL3nWibnZ0d5syZg8ePH2PJkiUAgK5du0IIgYcPH2b7/2vG7cJNmjSBiYlJls6Ip0+ffuulAQsLCzRp0gRbtmzR+A5UKhV+++03VKxYETVq1NDyp6W8YssCafD390eHDh3w9ddfIz4+Hs2bN8fly5cxZcoUeHl5YdCgQQCA5cuX49ChQ+jSpQsqV66M5ORkrF69GsDr68JWVlZwcXHBX3/9hXbt2qFs2bIoV64cXF1dsXjxYrRo0QItW7bEiBEj4OrqihcvXuDmzZvYsWNHluvZeWFgYIB58+ZhwIAB6Nq1K4YPH46UlBTMnz8fsbGxmDNnTqHPz40bN3D69GmoVCo8e/YMZ86cwapVqxAfH49169bB3d09x/fu3LkTgYGB6NGjB6pUqQIhBLZs2YLY2Fj4+/tL29WrVw9HjhzBjh074OzsDCsrK9SsWbNAee3s7DBixAjcu3cPNWrUwO7du7Fy5UqMGDEClStXBqC+LOHn54fZs2fD1tYWLi4uOHjwILZs2ZJlfxl/FObOnYtOnTrB0NAQHh4eMDY2zrLtmDFjsG7dOnTp0gXfffcdXFxcsGvXLgQGBmLEiBFa/cXfrl07pKen4+DBg1i7dq203s/PD1OmTIFCoUDbtm3fuh9tnvu3MTQ0xKxZs9CzZ08Ar6+3A/n7TorC+++/j4ULF+L777/HyJEj0bx5cwwbNgxDhgxBaGgoWrVqBQsLC0RGRuLEiROoV68eRowYgbJly2Ls2LFS7p49e+LBgweYNm0anJ2dNfoSZWf27Nnw9/dHmzZtMG7cOBgbGyMwMBD//vsvgoODtdYSSAUgW9dKKnYZPYjPnTuX63ZJSUni66+/Fi4uLkKpVApnZ2cxYsQIERMTI20TEhIievbsKVxcXISJiYmws7MTrVu3Ftu3b9fY14EDB4SXl5cwMTERADR6mkdERIgPPvhAVKhQQSiVSmFvby98fHzEjBkzpG1yuwshpx7j27ZtE02aNBGmpqbCwsJCtGvXTpw8eVJjm8y90/Mi41gZDyMjI2FnZyeaNWsmJk6cKO7cuZPlPW/eofDff/+J9957T1StWlWYmZkJGxsb0bhxY7FmzRqN9128eFE0b95cmJuba/Qgz+37y+luCHd3d3HkyBHRsGFDYWJiIpydncXEiRNFamqqxvsjIyNFnz59RNmyZYWNjY0YOHCgdPdG5t7qKSkpYujQocLe3l4oFAqNY755N4QQQty9e1f0799f2NnZCaVSKWrWrCnmz5+vcbdKRq/4+fPnZ/lcyOFumjepVCpRrlw5AUA8fPhQWn/y5EkBQHh7e2d5T3Z3Q+T33Of0M/im3H7efHx8BACNuyGEyPt3oo27IbKza9cuAUC6o0QIIVavXi2aNGkiLCwshJmZmahatap4//33RWhoqLSNSqUSM2bMEBUrVhTGxsbCw8ND7Ny5U9SvX1/07NlT2i67uyGEEOL48eOibdu20jGaNm0qduzYobFNYb8Pyj+FEG/pwk1ERFQIERERqFWrFqZMmYKJEyfKHYcKgMUCERFpzaVLlxAcHAwfHx9YW1vj2rVrmDdvHuLj4/Hvv/++9a4I0k3ss0BERFpjYWGB0NBQrFq1CrGxsbCxsYGvry9mzpzJQqEEY8sCERER5Yq3ThIREVGuWCwQERFRrlgsEBERUa5KdLEghEB8fPxbJ/AhIiKigivRxcKLFy9gY2ODFy9eyB2FiIhIb5XoYoGIiIiKHosFIiIiyhWLBSIiIsoViwUiIiLKFYsFIiIiyhXnhiAiKiXS09ORmpoqdwwqJkqlEoaGhlrZF4sFIiI9J4RAVFQUYmNj5Y5CxaxMmTJwcnKCQqEo1H5YLBAR6bmMQsHBwQHm5uaF/sNBuk8IgcTERDx58gQA4OzsXKj9sVggItJj6enpUqFgZ2cndxwqRmZmZgCAJ0+ewMHBoVCXJNjBkYhIj2X0UTA3N5c5Cckh43svbF8VFgtERKUALz2UTtr63lksEBERUa5YLBBRsRNC4MCBAwgMDMSmTZtw7tw5zh5Lb7VmzRqUKVNG7hj5plAosG3bNrljFAqLBSIqVkeOHEHTpk3g7++PkSNHol+/fmjcuDF8fVvj4sWLcscrdQICAqBQKKBQKKBUKlGlShWMGzcOCQkJhd73nTt3oFAotPa99u3bF9evX9fKvopTZGQkOnXqJHeMQmGxQETF5pdffkGbNm1w9uy5LK8dO3Yc3t7emD17NlsZilnHjh0RGRmJ27dvY8aMGQgMDMS4cePkjqUhNTUVZmZmcHBwKPR+8uLVq1eFOk5mTk5OMDEx0dr+5MBigYiKxc6dOzF8+HDpeb16lbF06ceYO3cwqlZ1BKC+PDFx4kSMHTsWKpVKrqiljomJCZycnFCpUiX0798fAwYMkJrNU1JSMGrUKDg4OMDU1BQtWrTAuXOvi72YmBgMGDAA9vb2MDMzQ/Xq1REUFAQAcHNzAwB4eXlBoVDA19dXel9QUBBq164NU1NT1KpVC4GBgdJrGS0Sv//+O3x9fWFqaorffvst28sQy5YtQ9WqVWFsbIyaNWvi119/1XhdoVBg+fLl6N69OywsLDBjxoxsz4GrqytmzJiBgIAA2NjY4KOPPgIAnDp1Cq1atYKZmRkqVaqEUaNGabS6REZGokuXLjAzM4Obmxs2bNgAV1dXLFq0SCND5ssQ//zzD9q2bQszMzPY2dlh2LBhePnypfR6QEAAevToge+//x7Ozs6ws7PDyJEjNQqdwMBAVK9eHaampnB0dESfPn2y/VxaI0qwuLg4AUDExcXJHYWIcnHhwgVhZmYmAAgAYvTod0R6+jYhxHYhxHaRnLxZTJnST3odgBg27COhUqnkjl7iJSUlifDwcJGUlJTt64MHDxbdu3fXWPfZZ58JOzs7IYQQo0aNEuXLlxe7d+8WV65cEYMHDxa2trbi2bNnQgghRo4cKTw9PcW5c+dERESE2L9/v9i+fbsQQoizZ88KAOLAgQMiMjJSes+KFSuEs7Oz2Lx5s7h9+7bYvHmzKFu2rFizZo0QQoiIiAgBQLi6ukrbPHz4UAQFBQkbGxsp55YtW4RSqRRLly4V165dEwsWLBCGhobi0KFD0jYAhIODg1i1apW4deuWuHPnTrbnwcXFRVhbW4v58+eLGzduiBs3bojLly8LS0tL8cMPP4jr16+LkydPCi8vLxEQECC9z8/PT3h6eorTp0+L8+fPi9atWwszMzPxww8/aGTYunWrEEKIhIQEUb58edGrVy/xzz//iIMHDwo3NzcxePBgje/E2tpafPzxx+Lq1atix44dwtzcXKxYsUIIIcS5c+eEoaGh2LBhg7hz5464cOGCWLx4cbaf623ff16xWCCiIpWSkiLq1asrFQF9+7bQKBQyP1at+kwYGCikbefMmSNrdn2Q32LhzJkzws7OTvzvf/8TL1++FEqlUqxfv156/dWrV6J8+fJi3rx5QgghunXrJoYMGZLtvjP+6IeFhWmsr1SpktiwYYPGuunTp4tmzZppvG/RokUa27xZLPj4+IiPPvpIY5t3331XdO7cWXquLk5HZ5svMxcXF9GjRw+NdYMGDRLDhg3TWHf8+HFhYGAgkpKSxNWrVwUAce7cOen1GzduCAA5FgsrVqwQtra24uXLl9Lru3btEgYGBiIqKkoIof5OXFxcRFpamsbn6tu3rxBCiM2bNwtra2sRHx//1s+lrWKBlyGIqEjNnz8f//zzLwDA09MNa9eOgYFB9r96PvjAH7/+OlZ6Pn78ePzxxx/FkrM027lzJywtLWFqaopmzZqhVatWWLJkCW7duoXU1FQ0b95c2lapVKJx48a4evUqAGDEiBHYuHEjPD098dVXX+HUqVO5His6Ohr379/Hhx9+CEtLS+kxY8YM3Lp1S2Pbhg0b5rqvq1evamQDgObNm0vZ8rqfnLY7f/481qxZo5GzQ4cOUKlUiIiIwLVr12BkZARvb2/pPdWqVYOtrW2umevXrw8LCwuNzCqVCteuXZPWubu7a4y46OzsLA3d7O/vDxcXF1SpUgWDBg3C+vXrkZiYmKfPWFAsFoioyPz333/47rvvAACGhgZYtWoUTEyUub6nf//WmDlzoPQ8ICAA//33X5HmLO3atGmDixcv4tq1a0hOTsaWLVvg4OAgdTR9c2AfIYS0rlOnTrh79y5Gjx6NR48eoV27drl2jszoi7Jy5UpcvHhRevz77784ffq0xraZ/6DmJLds+dlPdtupVCoMHz5cI+elS5dw48YNVK1aNceOuDmtzylfhszrlUplltcyzp2VlRUuXLiA4OBgODs7Y/Lkyahfv36RThTGYoGIioQQAp999qnUq3zs2O7w9q6ap/dOmPAuBg9uCwBITExEv359kZycXGRZSzsLCwtUq1YNLi4uGn+kqlWrBmNjY5w4cUJal5qaitDQUNSuXVtaZ29vj4CAAPz2229YtGgRVqxYAQAwNjYGoJ6fIoOjoyMqVKiA27dvo1q1ahqPjA6ReVW7dm2NbIC6Q2LmbIXh7e2NK1euZMmZcV5q1aqFtLQ0hIWFSe+5efNmrn+069Spg4sXL2p0kjx58iQMDAxQo0aNPGczMjKCn58f5s2bh8uXL+POnTs4dOhQgT5nno5XZHsmolJt165dOHDgIADA1dUeU6f2z/N7FQoFAgNH4Ny56wgPf4BLly7jq6++xI8/LimquJQNCwsLjBgxAl9++SXKli2LypUrY968eUhMTMSHH34IAJg8eTIaNGgAd3d3pKSkYOfOndIfawcHB5iZmWHPnj2oWLEiTE1NYWNjg6lTp2LUqFGwtrZGp06dkJKSgtDQUMTExGDs2LG5RdLw5Zdf4n//+x+8vb3Rrl077NixA1u2bMGBAwe08vm//vprNG3aFCNHjsRHH30ECwsLXL16Ffv378eSJUtQq1Yt+Pn5YdiwYVi2bBmUSiW++OILmJmZ5dh6MGDAAEyZMgWDBw/G1KlTER0djc8++wyDBg2Co6NjnnLt3LkTt2/fRqtWrWBra4vdu3dDpVKhZs2aWvnc2WHLAhFpXWpqKsaN+0J6Pm/eEJib5+8+c3NzE2zc+BVMTdX/0l2y5CccOXJEmzEpD+bMmYPevXtj0KBB8Pb2xs2bN7F3717puryxsTEmTJgADw8PtGrVCoaGhti4cSMA9b9+f/zxR/z8888oX748unfvDgAYOnQofvnlF6xZswb16tVD69atsWbNmny3LPTo0QOLFy/G/Pnz4e7ujp9//hlBQUEat2gWhoeHB44ePYobN26gZcuW8PLywqRJkzSme163bh0cHR3RqlUr9OzZEx999BGsrKxgamqa7T7Nzc2xd+9ePH/+HI0aNUKfPn3Qrl07/PTTT3nOVaZMGWzZsgVt27ZF7dq1sXz5cgQHB8Pd3b3QnzknCpHbxRUdFx8fDxsbG8TFxcHa2lruOET0/5YsWYJRo0YBAFq0qI1jx+YUeEKbn37aic8+UzdrV69eDZcuXZam3qW3S05ORkREBNzc3HL8A0ba8+DBA1SqVAkHDhxAu3bt5I6jte+fLQtEpFVxcXGYNm2q9HzhwqGFmvnuk086w8dH3bx648bNHAfVIZLDoUOHsH37dkRERODUqVPo168fXF1d0apVK7mjaRWLBSLSqvnz5+PZs+cAgP79W6FRo+qF2p+BgQFWrvwMSqX6NrJ58+YhPDy80DmJtCE1NRUTJ06Eu7s7evbsCXt7exw5ciTL3QwlHS9DEJHWREZGomrVqkhKSoJSaYhr15bBzc1JK/ueMmUDvvtOfS28Y8cO+PvvPVrZr77jZYjSjZchiEjnTJs2FUlJSQDUlw+0VSgAwPjxvVGpkh0AYM+evdi9e7fW9k1EuWOxQERace3aNfzyyyoAgJWVGb755n9a3b+ZmQnmzRsiPR87dkyeZxAkosJhsUBEWvHNNxOlwXe++qoX7O1ttH6Mvn1bSp0dr127jpUrV2r9GESUFYsFIiq006dPY/PmLQAAR0cbjBnTvUiOo1Ao8MMPH0nPp0//TmMkPCIqGiwWiKhQhBAYP/5r6fnUqf1hYVF0HekaN66BXr2aAgCioh5jyRKO6khU1FgsEFGhHDt2DEePHgMAVK/ujA8/9C/yY86YMQgGBuqxG+bOnYOYmJgiPyZRaSZrsZCWloZvv/0Wbm5uMDMzQ5UqVfDdd99JM2sRke6bNWumtDxpUj8olUU/5Uzt2pWkiaZiY+Mwb968Ij+mvkpKAuLiiufx/zfKyCIgIAA9evSQnvv6+mL06NGy5SlpZJ1Iau7cuVi+fDnWrl0Ld3d3hIaGYsiQIbCxscHnn38uZzQiyoPQ0FDs27cfAODm5oD33iu+UeumTu2P9euP4tWrNCxevBijRo3SGLOf3i4pCfjrL6C4GmZsbYHu3YH8jNYdEBCAtWvXYvbs2Rg/fry0ftu2bejZs2eu00GT9shaLISEhKB79+7o0qULAMDV1RXBwcEIDQ2VMxYR5dHs2bOk5a+/7gMjI8NiO3blyvb45JPOWLRoO5KSkjB9+ncIDFxWbMfXB69eqQsFMzOgqMdrSk5WH+vVq/wVCwBgamqKuXPnYvjw4dIEVlS8ZL0M0aJFCxw8eBDXr18HAFy6dAknTpxA586ds90+JSUF8fHxGg8ikseNGzewZctWAICzs610WaA4TZz4Liwt1X/lVq78Bbdu3Sr2DPrA1BSwsCjaR2GKET8/Pzg5OWH27NnZvj516lR4enpqrFu0aBFcXV0LflDSIGux8PXXX+O9995DrVq1oFQq4eXlhdGjR+O9997LdvvZs2fDxsZGelSqVKmYExNRhhUrVkjLo0e/A1NT42LPYG9vgy++6AFA3Qdq2rRpxZ6Bip6hoSFmzZqFJUuW4MGDB3LHKZVkLRY2bdqE3377DRs2bMCFCxewdu1afP/991i7dm2220+YMAFxcXHS4/79+8WcmIgA9XjzQUGrAQDGxkb44IOivwMiJ2PH9kDZspYAgPXr1+PatWuyZaGi07NnT3h6emLKlClyRymVZC0WvvzyS4wfPx79+vVDvXr1MGjQIIwZMybHpiYTExNYW1trPIio+G3evFmaWbJPHx+UKyff/4vW1uYYN64nAEClUmH69OmyZaGiNXfuXKxdu5azjspA1mIhMTERBgaaEQwNDXnrJJGOW778dUfCjz/uJGMStU8/7QI7O3XrQnBwMP777z+ZE1FRaNWqFTp06ICJEydqrDcwMMhyVwTnDdEuWYuFbt26YebMmdi1axfu3LmDrVu3YuHChejZs6ecsYgoF+Hh4Thx4iQAoE6dimjRoo7MiQArK3OMG9cLgLp1YebMmW95B5VUc+bMwY4dO3Dq1Clpnb29PaKiojQKhosXL8qQTn/JWiwsWbIEffr0wSeffILatWtj3LhxGD58OJsRiXTYhg0bpOVhwzpCoVDImOa1N1sX7t69K3MiKgr16tXDgAEDNIb59vX1RXR0NObNm4dbt25h6dKl+Pvvv2VMqX9kLRasrKywaNEi3L17F0lJSbh16xZmzJgBY+Pi71VNRG8nhEBwsLpYMDBQoF+/ljInes3S0gyfftoVAJCeno6FCxfKnKjkSE4GEhKK9pGcrL2806dP12hFqF27NgIDA7F06VLUr18fZ8+exbhx47R3QIJClODhr+Lj42FjY4O4uDh2diQqBufOnUPjxo0BAH5+9bF/v261Aj59Go/KlT9AUtIrmJub4969e7Czs5M7lqySk5MREREBNzc3mL4x2EFJGMGRCie37z8/ZB3BkYhKluDgYGlZl1oVMpQrZ42hQ9tjyZKdSExMxNKlSzF58mS5Y+ksMzP1H+9Xr4rneMbGLBRKKrYsEFGeqFQqVKpUEY8eRUKpNMTjx7/C1tZS7lhZ3LnzGNWqDUd6ugqOjg64d+9+qb60qa1/WVLJpK3vn1NUE1GenDhxAo8eRQIAOnb01slCAQBcXR3Rs2dTAMDjx0+wfft2mRMRlXwsFogoT7Zu3Sot9+2re5cgMhs+vKO0/PPPy2VMQqQfWCwQ0VsJIbBjh/pf6IaGBujSpaHMiXLXtq0HqlZ1BAAcOHAQN2/elDkRUcnGYoGI3ur69eu4des2AKBlyzooU0Y3L0FkMDAwwPDhr0eWzDzpFRHlH4sFInqrHTt2SMvdujWWMUneBQS0g7Gx+oavNWuCkJaWJnMiopKLxQIRvdXOna87CXbt2kjGJHlnb2+Dd95RFzbR0U9x6NAhmRMRlVwsFogoVzExMThxQj0Of/XqzqhRo4LMifLuvfdaScsbNwbnsiUR5YbFAhHlas+ePUhPTwdQci5BZOjUqQGsrNT3lm/duhUpKSkyJ9JFSQDiiumRpPX0R44cgUKhQGxsrNb3XdQUCgW2bdsmd4w84QiORJSrnTtf91coKZcgMpiZmaB796b47bcjiI2Nw759+9CtWze5Y+mQJAB/ASim8Z5hC6A7gPwP43jq1Cm0bNkS/v7+2LNnT47brVmzBqNHj9ap4mHq1KnYtm1blpkwIyMjYWtrK0+ofGLLAhHlKC0tTZq9z8bGXCemo86vzMNSb9y4UcYkuugV1IWCGdR/yIvyYfb/xyrY2NKrV6/GZ599hhMnTuDevXsF2kd+pKenQ6VSFekxnJycYGJiUqTH0BYWC0SUo1OnTiEmJhYA0LFjAyiVJa8x0t/fE7a2FgCAv/7ahqQk7TeFl3ymACyK+FHwoYYTEhLw+++/Y8SIEejatSvWrFmT7XZHjhzBkCFDEBcXB4VCAYVCgalTpwIAXr16ha+++goVKlSAhYUFmjRpgiNHjkjvXbNmDcqUKYOdO3eiTp06MDExwd27d+Hq6opZs2bhgw8+gJWVFSpXrpzlVtyvv/4aNWrUgLm5OapUqYJJkyYhNTVV2u+0adNw6dIlKVNG/syXIZo1a4bx48dr7Dc6OhpKpRKHDx/O02coSiwWiChHO3fulJa7dtXtgZhyYmysRI8e6uGfExISpV+8VHJs2rQJNWvWRM2aNTFw4EAEBQUhu2mNfHx8sGjRIlhbWyMyMhKRkZHSVNVDhgzByZMnsXHjRly+fBnvvvsuOnbsiBs3bkjvT0xMxOzZs/HLL7/gypUrcHBwAAAsWLAADRs2RFhYGD755BOMGDEC//33n/Q+KysrrFmzBuHh4Vi8eDFWrlyJH374AQDQt29ffPHFF3B3d5cy9e3bN0v2AQMGIDg4WONzbdq0CY6OjmjdunWeP0NRYbFARDnaseMvAICBgQKdOjWQOU3BvfNOE2k5cwFEJcOqVaswcOBAAEDHjh3x8uVLHDx4MMt2xsbGsLGxgUKhgJOTE5ycnGBpaYlbt24hODgYf/zxB1q2bImqVati3LhxaNGiBYKCgqT3p6amIjAwED4+PqhZsyYsLNQtUp07d8Ynn3yCatWq4euvv0a5cuU0/kX/7bffwsfHB66urujWrRu++OIL/P777wAAMzMzWFpawsjISMpkls3Um3379sWjR49w4sQJad2GDRvQv39/GBgY5PkzFJWS16ZIRMXi5s2b+O+/6wAAH59asLMruTO7+vnVh7GxEV69SsPOnTuwdOlSKBQKuWNRHly7dg1nz57Fli1bAABGRkbo27cvVq9eDT8/vzzt48KFCxBCoEaNGhrrU1JSYGdnJz03NjaGh4dHlvdnXpdRiDx58kRa9+eff2LRokW4efMmXr58ibS0tHzPhGxvbw9/f3+sX78eLVu2REREBEJCQrBs2bJ8fYaiwmKBiLK1a9cuablr15J1y+SbLC3N0KZNPezdG4b79x/g8uXLqF+/vtyxKA9WrVqFtLQ0VKjwenwPIQSUSiViYvJ2F4dKpYKhoSHOnz8PQ0NDjdcsLV8PXW5mZpZtEalUKjWeKxQKqfPj6dOn0a9fP0ybNg0dOnSAjY0NNm7ciAULFuT5M2YYMGAAPv/8cyxZsgQbNmyAu7u79HOa189QVFgsEFG2MiaOAoBu3UrWLZPZ6datMfbuDQOgvhTBYkH3paWlYd26dViwYAHat2+v8Vrv3r2xfv161K1bV2O9sbGxNC5IBi8vL6Snp+PJkydo2VK7M6aePHkSLi4u+Oabb6R1d+/efWum7PTo0QPDhw/Hnj17sGHDBgwaNEh6rSg/Q16wzwIRZREfH4+jR48BANzcHFC7diWZExVe5pkyM48dQbpr586diImJwYcffoi6detqPPr06YNVq1ZleY+rq6vUp+Hp06dITExEjRo1MGDAALz//vvYsmULIiIicO7cOcydOxe7d+8uVMZq1arh3r172LhxI27duoUff/xRYzr3jEwRERG4ePEinj59muPgYBYWFujevTsmTZqEq1evon///tJrRfkZ8oLFAhFlsW/fPmnipa5dG+vF9X1XV0fUrVsZAHDmzFmNa86UDCChiB/J+U61atUq+Pn5wcbGJstrvXv3xsWLF3HhwgWN9T4+Pvj444/Rt29f2NvbY968eQCAoKAgvP/++/jiiy9Qs2ZNvPPOOzhz5gwqVSpcIdy9e3eMGTMGn376KTw9PXHq1ClMmjQpS9aOHTuiTZs2sLe3R3BwzkOPDxgwAJcuXULLli1RuXJljdeK6jPkhUJkd/9JCREfHw8bGxvExcXluzMJEeVs8ODBWLduHQBg375p8Pf3kjmRdkyYsBZz5mwGAPz6669SD3t9lpycjIiICLi5ucHU9M2xDkrOCI5UMLl//3nHPgtEpCE9PR27d6s7N1pamqJVq7pveUfJ0aGDt1Qs7Nu3r1QUC7kzg/qPd8FGVcw/Y7BQKJlYLBCRhjNnzuDp02cAgPbtvWBionzLO0oOH59asLAwQUJCCvbt2wshhF5cYikcM/APOL0N+ywQkYbMgxaVtFkm38bYWIk2beoBAB4/foLLly/LnIioZGCxQEQaMu4UUCgU6NTJW+Y02te+/evPtG/fPhmTEJUcLBaISHL37l3888+/AIDGjavB0bFkTJ+bH+3be0rL+/btlS9IMSvBfdmpELT1vbNYICKJ5iWIJrlsWXLVqFEBLi7lAADHj59AYmKizImKVsbog/r+OSl7Gd/7m6NQ5hc7OBKRJPNgRV27lvxRG7OjUCjQvr03Vq7ch5SUFBw7dgwdO3aUO1aRMTQ0RJkyZaRxJczNzdmpsxQQQiAxMRFPnjxBmTJlsgwRnV8sFogIAPDy5UscOqSevrlSJTt4eLjKG6gIdeigLhYAdb8FfS4WAMDJyQkAOBBVKVSmTBnp+y8MFgtEBAA4cOAAXr1S32+vL6M25qRtWw8YGCigUgns3bsHwEK5IxUphUIBZ2dnODg4IDU1Ve44VEyUSmWhWxQysFggIgDAjh36fwkig62tJRo3ro7Tp68jPPwqHjx4gIoVK8odq8gZGhpq7Y8HlS7s4EhEUKlU0qiN5ubGaNvWQ+ZERa9Dh9e3UO7fv1/GJES6j8UCEeHixYuIinoMQN1Eb2pqLHOiote+/ev5LvbuLT23UBIVBIsFItKY4rZLF/2+BJGhceMasLExB6BuWUhPT5c5EZHuYrFARNIlCADo1KmBjEmKj5GRIdq1U19uef78OcLCwmRORKS7WCwQlXJPnz7F6dNnAADu7pXg4uIgc6Lik3noZ16KIMoZiwWiUm7fvn3SkLCdOzeUOU3x0hz6mfNEEOWExQJRKZf5EkRpKxbc3JxQvbp6wJpTp07hxYsXMici0k0sFohKsfT0dKn53crKDM2b15Y5UfHLuBSRlpaGw4cPy5yGSDexWCAqxUJDQ/H06TMAgL+/J5TK0jdOW+ZbKHkpgih7LBaISrHMt0x27lw67oJ4U5s29WBkpP5VyGKBKHssFohKsd27X09JXVpumXyTlZU5fHxqAgBu3LiBiIgImRMR6R4WC0Sl1OPHjxEaegEA4OnphvLl7WROJJ/27V8XSmxdIMqKxQJRKbVnzx5pubTdBfGmDh3Yb4EoNywWiEop9ld4zcurCuzsLAEABw8eRFpamsyJiHQLiwWiUigtLQ379qlvmbS1tUCTJjVlTiQvQ0ND+Pmph36Oi4vD2bNnZU5EpFtYLBCVQmfPnkVsbBwA9a2DRkaGMieSX4cOry/F8FIEkSYWC0Sl0P79+6XlzOMMlGb+/p7SMueJINLEYoGoFDpw4HWx4OfnKV8QHVKxYjnUqVMBgLrlJSYmRuZERLqDxQJRKfPixQtplskaNZxRubK9zIl0R4cO6qGfVSoVDh06JHMaIt3BYoGolDl27JjU29/Pj5cgMuOU1UTZY7FAVMpk7q/g51dfxiS6p1WrujAxUc+PkXnqbqLSjsUCUSmT0V/BwECBNm3qyZxGt5ibm6BlS/XMm3fv3sWNGzdkTkSkG1gsEJUikZGRuHIlHADQqFE1lCljKXMi3ZN56GdeiiBSY7FAVIpk7rTXrp2nfEF0GId+JspK9mLh4cOHGDhwIOzs7GBubg5PT0+cP39e7lhEeunIkSPScrt2HvIF0WH16rnC0dEGAHD48GG8evVK5kRE8pO1WIiJiUHz5s2hVCrx999/Izw8HAsWLECZMmXkjEWkt44cOQwAMDY2QtOmtWROo5sUCoU0UFVCQgJOnTolcyIi+RnJefC5c+eiUqVKCAoKkta5urrKF4hIjz148AA3b94CADRpUgPm5iYyJ9JdHTp449dfjwBQX4rw9fWVMw6R7GRtWdi+fTsaNmyId999Fw4ODvDy8sLKlSvljESkt44ePSot+/ryLojcZL6llP0WiGQuFm7fvo1ly5ahevXq2Lt3Lz7++GOMGjUK69aty3b7lJQUxMfHazyIKG8y91fw9a0rX5ASwNHRFp6ergCACxcuIDo6Wt5ARDKTtVhQqVTw9vbGrFmz4OXlheHDh+Ojjz7CsmXLst1+9uzZsLGxkR6VKlUq5sREJRf7K+RPhw7qWyiFEDhw4IDMaYjkJWux4OzsjDp16misq127Nu7du5ft9hMmTEBcXJz0uH//fnHEJCrx2F8h/9q395SWeSmCSjtZOzg2b94c165d01h3/fp1uLi4ZLu9iYkJTEz4S44ov9hfIf+aN68Dc3NjJCa+wr59eyGEgEKhkDsWkSxkbVkYM2YMTp8+jVmzZuHmzZvYsGEDVqxYgZEjR8oZi0jvnDhxQlpu1cpdxiQlh4mJUiqsHj2KxJUrV2RORCQfWYuFRo0aYevWrQgODkbdunUxffp0LFq0CAMGDJAzFpHeOXlSXSwYGhqgadOaMqcpOTLGWwB4KYJKN4UowdOqxcfHw8bGBnFxcbC2tpY7DpFOio2NRdmyZSGEQIMGVREa+oPckUqMq1fvo04ddUtn+/b+2LuXBQOVTrIP90xERSskJESaarl58zpv2Zoyq1WrIipVsgMAHDt2HElJSTInIpIHiwUiPZe5v0KLFrVlTFLyqId+9gYAJCcn49ixYzInIpIHiwUiPZfRXwEAmjdnsZBfmWeh5JTVVFqxWCDSY69evcKZM2cBAG5uDihf3k7mRCWPn58nDAzUt0zu3btH5jRE8mCxQKTHwsLCkJycDID9FQrK1tYSTZrUAACEh1/lYHBUKrFYINJjmv0VWCwUVIcO3tIyb6Gk0ojFApEeY38F7cjcb2HPnr9lTEIkDxYLRHpKCCG1LJQpY4E6dTjxWkE1alQdtrYWAIADBw4gLS1N5kRExYvFApGeunnzJqKjnwIAfHxqwcCA/7sXlKGhIfz8PAEAsbFxOHfunLyBiIoZf3sQ6Sn2V9Cujh1f91vgLZRU2rBYINJT7K+gXZnniWC/BSptWCwQ6akTJ44DAJRKQzRqVF3mNCVfxYrl4O6u7vdx7lwonj9/LnMiouLDYoFID0VHR+PatRsAgAYNqsLMzETmRPoh4xZKlUqFAwcOyJyGqPiwWCDSQ6dOnZKWW7RwlzGJfsk83gL7LVBpwmKBSA+dPHlSWmZ/Be1p2bIOTE2VANRDP2fM5kmk71gsEOmhjP4KAIsFbTIzM4Gvbz0AwMOHjxAeHi5zIqLiwWKBSM8kJSUhNPQ8AKBGjfKwt7eROZF+8ff3lJYPHTokXxCiYsRigUjPhIaGIjU1FQDHVygKbdt6SMuHDh2UMQlR8WGxQKRn2F+haHl4uKJsWUsAwNGjR5Geni5zIqKiV6BiISIiQts5iEhLMvdXYMuC9hkYGKBNG3W/hZiYWFy6dEnmRERFr0DFQrVq1dCmTRv89ttvSE5O1nYmIioglUol3TZpb2+N6tXLy5xIP7VtW19aZr8FKg0KVCxcunQJXl5e+OKLL+Dk5IThw4fj7Nmz2s5GRPl09epVxMTEAlBfglAoFPIG0lMZLQsA+y1Q6VCgYqFu3bpYuHAhHj58iKCgIERFRaFFixZwd3fHwoULER0dre2cRJQHmv0VeAmiqNSqVRFOTmUAAMeOHZc6lBLpq0J1cDQyMkLPnj3x+++/Y+7cubh16xbGjRuHihUr4v3330dkZKS2chJRHmjONMnOjUVFoVBId0UkJCRwymrSe4UqFkJDQ/HJJ5/A2dkZCxcuxLhx43Dr1i0cOnQIDx8+RPfu3bWVk4jyIGOmSVNTJby9q8qcRr+1afP6Fspjx47JmISo6BWoWFi4cCHq1asHHx8fPHr0COvWrcPdu3cxY8YMuLm5oXnz5vj5559x4cIFbeclohxERkbi9m31nUqNG1eHsbFS5kT6rVWr13NuHDt2VMYkREXPqCBvWrZsGT744AMMGTIETk5O2W5TuXJlrFq1qlDhiCjv2F+heFWvXh4ODtZ48iQeJ0+eRHp6OgwNDeWORVQkCtSysH//fnz99ddZCgUhBO7duwcAMDY2xuDBgwufkIjyRLO/AouFoqZQKNCypbp1IT7+Bf755x+ZExEVnQIVC1WrVsXTp0+zrH/+/Dnc3NwKHYqI8i+jvwIANGtWS8YkpUerVnWlZfZbIH1WoGIhp2lZX758CVNT00IFIqL8S0hIQFjYRQBA3bqVYGtrKW+gUqJly9ctOMePH89lS6KSLV99FsaOHQtA3fw2efJkmJubS6+lp6fjzJkz8PT01GpAInq7M2fOSHMUNG/u/patSVs8PFxhbW2G+PgkHD9+DEIIDoRFeilfxUJYWBgAdcvCP//8A2NjY+k1Y2Nj1K9fH+PGjdNuQiJ6q8ydGzm+QvExNDRE8+a18fffF/D48RPcuHEDNWrUkDsWkdblq1g4fPgwAGDIkCFYvHgxrK2tiyQUEeVP5smjONNk8WrZ0h1//62+Tfz48eMsFkgvFajPQlBQEAsFIh2RlpaGkJAQAICzsy1cXR1lTlS6ZL7zJGMSLyJ9k+eWhV69emHNmjWwtrZGr169ct12y5YthQ5GRHlz6dIlvHjxEoB6oCBeMy9eDRtWg5GRIdLS0nH6dIjccYiKRJ6LBRsbG+mXkI2NTZEFIqL8OXr09eiBrVvXzWVLKgpmZibw9HRFaOgthIdfRWxsLMqUKSN3LCKtynOxEBQUlO0yEckr8/39me/7p+LTrFlthIbeAqC+M6VDhw4yJyLSrgL1WUhKSkJiYqL0/O7du1i0aBH27duntWBE9HYqlQrHj6uLBTs7S9SuXVHmRKVT06Y1peWM/iNE+qRAxUL37t2xbt06AEBsbCwaN26MBQsWoHv37li2bJlWAxJRzsLDw/H8eQwAda98A4NCTSRLBdSsWeZigZ0cSf8U6DfLhQsX0LJlSwDAn3/+CScnJ9y9exfr1q3Djz/+qNWARJSzzP0VeAlCPq6ujnB0VPflOnPmDFQqlcyJiLSrQMVCYmIirKysAAD79u1Dr169YGBggKZNm+Lu3btaDUhEOdPsr8CRG+WiUCik+Tji4uLx33//yZyISLsKVCxUq1YN27Ztw/3797F37160b98eAPDkyROOv0BUTIQQOHZM3bJgZWUKT09O4ianpk1fT97FfgukbwpULEyePBnjxo2Dq6srmjRpgmbNmgFQtzJ4eXlpNSARZe/mzZuIinoMQD0wkKGhocyJSjfNfgssFki/5Gu45wx9+vRBixYtEBkZifr160vr27Vrh549e2otHBHljLdM6paGDavD0NAA6ekqnD7NTo6kXwpULACAk5MTnJycNNY1bty40IGIKG80Ozeyv4LczM1NUL++Ky5cuI3w8P8QFxfHAexIbxToMkRCQgImTZoEHx8fVKtWDVWqVNF4EFHRy+ivYGqqRMOG1WROQwCkTo5CCJw5c0bmNETaU6CWhaFDh+Lo0aMYNGgQnJ2dORY9UTG7e/cu7t69B0B9rdzYWClzIgLUxcLSpbsBqPstZHT+JirpClQs/P3339i1axeaN2+u7TxElAfHj7+ekrp163oyJqHMMloWAA7ORPqlQJchbG1tUbZsWW1nIaI8Yn8F3eTm5gh7e/Xt4xycifRJgYqF6dOnY/LkyRrzQxBR8cnor6BUGqJJk5pv2ZqKS+bBmWJj43Dt2jWZExFpR4EuQyxYsAC3bt2Co6MjXF1doVRqXi+9cOGCVsIRUVZRUVG4fv0GAKBRo2owNzeRORFl1qxZLWzffhaAut9C7dq1ZU5EVHgFKhZ69Oih5RhElFdHjhyRljm+gu7R7LcQgg8++EDGNETaUaBiYcqUKdrOQUR5dOjQIWm5Xbv6uWxJcmjYsJo0OBM7OZK+KPB8trGxsfjll18wYcIEPH/+HID68sPDhw+1Fo6Isjp06CAAdX8FHx82cesaCwtT1K/vCgAID7+K2NhYWfMQaUOBioXLly+jRo0amDt3Lr7//nvpf4atW7diwoQJ2sxHRJncu3cPt27dBqAeX4H9FXRTRhHHwZlIXxSoWBg7diwCAgJw48YNmJqaSus7deqkMV49EWnX4cOHpeW2bXkJQle92W+BqKQrULFw7tw5DB8+PMv6ChUqICoqqtChiCh7mfsrtG3rIWMSyo2Pz+ti4dSpkzImIdKOAhULpqamiI+Pz7L+2rVrsLe3L1CQ2bNnQ6FQYPTo0QV6P5G+E0JI/RXMzIzRuHENmRNRTlxcHODkVAaAenCm9PR0eQMRFVKBioXu3bvju+++Q2pqKgD1QCT37t3D+PHj0bt373zv79y5c1ixYgU8PPgvJaKc3Lx5Ew8eqDsQt2hRGyYmnA9CVykUCql1IT7+BcLDw2VORFQ4BSoWvv/+e0RHR8PBwQFJSUlo3bo1qlWrBisrK8ycOTNf+3r58iUGDBiAlStXwtbWtiBxiEoF9lcoWZo1e32nCvstUElXoHEWrK2tceLECRw+fBjnz5+HSqWCt7c3/Pz88r2vkSNHokuXLvDz88OMGTNy3TYlJQUpKSnS8+wuhRDpq8z9Fdq04eRRuk6z38IpDBs2TMY0RIWT72JBpVJhzZo12LJlC+7cuQOFQgE3Nzc4OTlBCJGv6ao3btyICxcu4Ny5c3nafvbs2Zg2bVp+IxOVeJn7K1hZmaJBg2oyJ6K38fauCmNjI7x6lcbBmajEy9dlCCEE3nnnHQwdOhQPHz5EvXr14O7ujrt37yIgIAA9e/bM877u37+Pzz//HL/99pvG7Ze5mTBhAuLi4qTH/fv38xOfqMS6cuUKoqOfAgBat64LIyNDmRPR25iaGsPb2w0AcP36DTx9+lTmREQFl6+WhTVr1uDYsWM4ePAg2rRpo/HaoUOH0KNHD6xbtw7vv//+W/d1/vx5PHnyBA0aNJDWpaen49ixY/jpp5+QkpICQ0PNX4gmJiYwMeEgNFT6sL9CyeTjUwenT6sn/Tp9+jS6du0qcyKigslXy0JwcDAmTpyYpVAAgLZt22L8+PFYv359nvbVrl07/PPPP7h48aL0aNiwIQYMGICLFy9mKRSISjP2VyiZMg/OdOoUL0VQyZWvloXLly9j3rx5Ob7eqVMn/Pjjj3nal5WVFerW1Zwxz8LCAnZ2dlnWE5Vm6enpOHJE3bJQtqwlPDxc5Q1EeZa5kyPviKCSLF8tC8+fP4ejo2OOrzs6OiImJqbQoYjotUuXLiE2Ng6AulXBwKDA879RMStf3g6VK5cDAJw9exZpaWkyJyIqmHy1LKSnp8PIKOe3GBoaFup/hiNHjhT4vUT66sCBA9JymzYcuKyk8fGpjXv3jiMxMRGXL1+Gt7e33JGI8i1fxYIQAgEBATl2Msw8BgIRacf+/fukZT8/dm4saZo1q4WNG48DUPdbYLFAJVG+ioXBgwe/dZu83AlBRHmTlJSE48dPAAAqVbJDjRoVZE5E+fVmv4VPP/1UxjREBZOvYiEoKKiochBRNk6ePCm12Pn7e+Vr0DPSDfXru8HMzBhJSa9w8uQJueMQFQh7ShHpsP3790vL/v6e8gWhAlMqjdC4cXUAwN2793Dv3j2ZExHlH4sFIh2Wub9Cu3bsr1BS+fq+HhuDHbmpJGKxQKSjoqOjERZ2EQDg5eUGe3sbeQNRgbFYoJKOxQKRjjp48KC07O/vJWMSKqymTWvCxEQJANIAW0QlCYsFIh2Vub8Cb5ks2UxNjdGsWU0AQETEHdy9e1fmRET5w2KBSAcJIaT+CiYmSrRoUUfmRFRYmS9FHD16VMYkRPnHYoFIB12/fh337z8AALRsWQdmZpxttaRjvwUqyVgsEOkg3jKpf5o0qcF+C1RisVgg0kEsFvTPm/0WIiIiZE5ElHcsFoh0TGpqKg4fPgQAsLe3Rv36bjInIm3x8/OUlvft25fzhkQ6hsUCkY45e/YsXrx4CUA9EBOnpNYfHTq8vgV27949MiYhyh/+FiLSMbwEob+8vKrAzs4SgHocjbS0NJkTEeUNiwUiHZP5X5wsFvSLoaGhdCkiPv4Fzp49K28gojxisUCkQ6Kjo3HmjPoPSN26lVGpkr3MiUjbOnTwlpb37t0rYxKivGOxQKRD9u7dCyEEAKBz54Yyp6GikLm1aN8+FgtUMrBYINIhu3fvlpZZLOinihXLoU6digCAs2fP4fnz5zInIno7FgtEOiI9PR179vwNALCxMYePTy2ZE1FR6dChAQBApVLxFkoqEVgsEOmIM2fOICYmFgDQvr0XlEojeQNRkenS5XWr0c6dO2VMQpQ3LBaIdMSuXbukZV6C0G8tW9aBtbUZAODvv3fzFkrSeSwWiHTEjh3bpeVOnbxz2ZJKOmNjpXRXxPPnMQgJCZE5EVHuWCwQ6YBbt27hn3/+BQA0aVIdjo62Mieiota1ayNpmZciSNexWCDSAVu3bpWWe/XykTEJFZfOnRtCoVAAAHbu3CFzGqLcsVgg0gFbtmyWlnv2bCZjEiou5cpZo1mzGgCA8PCruH37tsyJiHLGYoFIZo8ePUJIyGkA6lEbq1cvL3MiKi5duzaWlrdt2yZfEKK3YLFAJLO//vpLWmarQumS+fvevPlPGZMQ5Y7FApHMNC9BNJUxCRW3WrUqSqM5njoVgkePHsmciCh7LBaIZPT48WMcOnQYAODqag9PzyoyJ6Li1rt3c2k5c0dXIl3CYoFIRsHBwVCpVACA/v19pd7xVHr07v367pfNmzfnsiWRfFgsEMnot99+lZYHDGgtYxKSi4eHK6pWdQQAHD16FNHR0TInIsqKxQKRTK5evYrz5y8AALy9q6BOncoyJyI5KBQK6VKESqXS6PBKpCtYLBDJZP369dLyoEFtZExCcuOlCNJ1CiGEkDtEQcXHx8PGxgZxcXGwtraWOw5RnqlUKlSp4oa7d+/BwECBhw/XwMmJQzyXVkIIuLh8gPv3n0GpVOLJkycoU6aM3LGIJGxZIJLBvn37cPfuPQCAv78nC4VSTqFQSMN8p6amYscODv9MuoXFApEMAgOXSssff9xJxiSkK3gpgnQZL0MQFbM7d+6gSpUqEEKgYkU7RET8AiMjQ7ljkczS09NRoUIAHj+Og6mpKaKjo2FpaSl3LCIAbFkgKnYrVqxARo0+fHhHFgoEADA0NJSGf05OTsbu3btlTkT0GosFomKUkpKCX35ZCQAwMjLE0KHtZU5EuiTzpYhNmzbKmIRIE4sFomK0du1aREc/BQD06tWUHRtJg69vPTg42AAAdu3ajbi4OJkTEamxWCAqJmlpaZg7d470fNy4XjKmIV1kZGSIvn1bAlC3Qm3ZskXmRERqLBaIismmTZtw+3YEAMDfvz4aNaoucyLSRf37t5KWN2xYn8uWRMWHxQJRMVCpVJg9e5b0fOLE/8mYhnRZkyY1UaWKeq6IQ4cOIzIyUuZERCwWiIrFjh07cOVKOACgWbOaaN26rsyJSFcpFAr076+eVEylUuH333+XORERiwWiIieEwMyZM6Tn33zzP05FTbnKKBYAYO3aNfIFIfp/LBaIitjBgwdx7lwoAMDDwwWdOzeUORHputq1K6Fhw6oAgLCwi7h06ZLMiai0Y7FAVMRmzZopLU+cyFYFypshQ/yl5aCgIBmTEHG4Z6IiFRISAh8f9UA71as74+rVQBgacsRGeruYmJdwdh6MlJRU2NmVxaNHkTA2NpY7FpVSbFkgKkKZWxXGj+/DQoHyzNbWEj17NgUAPHv2nDNRkqxYLBAVkUuXLmHnzl0AgIoV7TBwoK+8gajE+eADP2l51apfZExCpR2LBaIiMmfO69Eav/yyF4yNlTKmoZKobVsPVK5cDgCwZ89eREREyJyISisWC0RF4MaNG9L98fb21pwwigrE0NAQw4d3BKC+BXfZsmUyJ6LSisUCURFYuHAhVCoVAGDMmO4wNzeRORGVVEOHtoexsREA9aWIpKQkmRNRacRigUjLYmJisG7dWgCAhYUJRozoJHMiKskcHMrg3XebAwCeP4/hiI4kCxYLRFq2atUqJCaq//UXENAOZcpYypyISrqRI7tIyz/9tAQl+I53KqFkLRZmz56NRo0awcrKCg4ODujRoweuXbsmZySiQklLS8NPP/0oPf/ss64ypiF90bRpTXh5uQEAQkPP4+jRozInotJG1mLh6NGjGDlyJE6fPo39+/cjLS0N7du3R0JCgpyxiAps+/btuHv3PgCgY0dv1KxZUeZEpA8UCgXGjeslPZ87d04uWxNpn06N4BgdHQ0HBwccPXoUrVq1euv2HMGRdI2vbyscPXocAPD331PQsWMDmRORvkhLS0f16sNw5040ACAsLAyenp7yhqJSQ6f6LMTFxQEAypYtK3MSovy7ePGiVCjUrFkB7dt7yZyI9ImRkaFG68K8efNkTEOljc4UC0IIjB07Fi1atEDdunWz3SYlJQXx8fEaDyJd8eOPi6XlUaO6wcBAZ/73Ij0xZIgfypWzAgBs2rQJt2/fljkRlRY689vs008/xeXLlxEcHJzjNrNnz4aNjY30qFSpUjEmJMpZdHQ0NmxQ/+za2Jjj/ffbyJyI9JG5uQlGjeoGAFCpVFiwYIHMiai00Ili4bPPPsP27dtx+PBhVKyYc4ewCRMmIC4uTnrcv3+/GFMS5WzFihVISUkBAHz4oT8sLc1kTkT6auTILrCwUA/ytXr1ajx58kTmRFQayFosCCHw6aefYsuWLTh06BDc3Nxy3d7ExATW1tYaDyK5paamIjDwJwDqXuufftrlLe8gKriyZa0wbJh6COjk5GQsWbJE5kRUGshaLIwcORK//fYbNmzYACsrK0RFRSEqKorDmVKJsnnzZjx6FAUAeOedxnBzc5I5Eem7MWPegZGRerrzpUt/wosXL2RORPpO1mJh2bJliIuLg6+vL5ydnaXHpk2b5IxFlC+LF/8gLX/+eTcZk1BpUamSPQYObA0AiImJRWBgoMyJSN/p1DgL+cVxFkhuZ8+eRZMmTQAA9eq54NKlH6FQKGRORaXBtWsPULv2SAghUK6cHe7cuQsLCwu5Y5Ge0okOjkQl1Zu3S7JQoOJSs2ZF9OvXAgDw9OkzLF++XOZEpM/YskBUQJGRkXBxcUFqairs7Kxw//5qmJlxKmoqPleu3EO9ep9BCAFHRwfcvh0Bc3NzuWORHmLLAlEBLVu2DKmpqQCAYcM6sFCgYufuXhl9+jQDADx+/AQrV66UORHpK7YsEBVASkoKKlWqiOjopzA0NEBExEpUqmQvdywqhS5fjkD9+p8DAJydnXD7dgRMTU1lTkX6hi0LRAWwceNGREc/BQD07t2MhQLJxsPDDT17NgUAREZGYdWqVTInIn3EYoEon4QQWLx4kfT888/fkS8MEYBJk/pKy3PmzJZGEyXSFhYLRPl08uRJhIVdBAA0bFgVzZrVkjcQlXpeXlXRrVsjAMCDBw+xZs0aeQOR3mGxQJRPmVsVRo16h7dLkk6YPLmftDxr1ky8evVKxjSkb1gsEOXDvXv3sHXrNgCAo6MN/ve/FvIGIvp/DRtWR+fODQAA9+7dx6+//ipzItInLBaI8iEwMBDp6ekAgBEjOsPERClzIqLXMvddmDlzhnRrL1FhsVggyqPExESsXLkCAKBUGmL48I4yJyLS1LRpLbRv7wkAiIi4gw0bNsgbiPQGiwWiPAoKCsLz5zEAgH79WsLJyVbmRERZZe67MHPmDKSlpcmYhvQFiwWiPEhLS8PChQuk51980VPGNEQ5a968Dtq2rQcAuHHjJmfxJa1gsUCUB1u2bMHt2xEAAH//+qhf303mREQ5mzz5PWl5xozpUj8booJisUD0FkIIzJ8/T3r+1Ve9ZUxD9HatW9dFq1Z1AAD//XcNf/75p8yJqKRjsUD0FkePHkVo6HkAgKenK9q1qy9zIqK3y9y6MH36d1CpVDKmoZKOxQLRW2RuVfjyy94chIlKhLZtPeDjUxMAcOVKOLZu3SpzIirJWCwQ5eLKlSvYvftvAEDlyuXw7rvNZU5ElDcKhUKjdeG776axdYEKjMUCUS6+//57aXnMmO5QKo1kTEOUP+3be6Fx4+oAgMuX/8GOHTtkTkQllUIIIeQOUVDx8fGwsbFBXFwcrK2t5Y5Deubhw4dwc3NDamoqypQxx/37QbC0NJM7FlG+7Np1Dl27TgcA1K/vgQsXwmBgwH8nUv7wJ4YoB99//700XO4nn3RhoUAlUufODdGwYVUAwKVLlxEcHCxzIiqJ2LJAlI2oqCi4ubkhOTkZZmbGiIhYCUdHjthIJdPBg5fg5zcJAODq6oL//rsGExMTmVNRScKWBaJsfP/990hOTgYAjBjRiYUClWjt2tVHhw5eAIA7d+5i2bJlMieikoYtC0RvePLkCVxdXZGUlARTUyUiIn7hPBBU4l28eBteXqMBAHZ2ZXHr1m3Y2NjIG4pKDLYsEL1hzpw5SEpKAgAMH96RhQLpBU/PKhgwoDUA4Nmz55g/f77MiagkYcsCUSZ37txBzZo18erVK5iZGePWrRVwdi4rdywirYiIiEKtWp/g1as0mJmZ4datW3B2dpY7FpUAbFkgymTy5Ml49eoVAPW4CiwUSJ+4uTnhk086AQCSkpIwdeoUmRNRScGWBaL/d+nSJXh5eUEIgbJlLXH79krY2FjIHYtIq54+jUeVKkPx4kUyDAwMEBYWBg8PD7ljkY5jywIR1DNLjhkzBhm187ff9mWhQHqpXDlrTJz4PwCASqXCyJGfoAT/m5GKCYsFIgAbN27E4cOHAQBubuUwYkQnmRMRFZ0xY7qjenV1X4UTJ05i/fr1MiciXcdigUq9uLg4jB07Vnq+ZEk/mJoay5iIqGiZmCjx44/DpOdffjkOsbGx8gUincdigUq9b7/9FlFRUQCA7t0boksXXr8l/dexYwP06NEEABAV9RhfffWlzIlIl7GDI5Vq+/fvR/v27QEAJiZm+O+/uXB1NQXgJG8womJw/3406tQZiZcv1aOVHj58GL6+vvKGIp3ElgUqtZ4/f46AgADp+QcfzIGrq718gYiKWaVK9pgzZ7D0/KOPhiIxMVHGRKSrWCxQqaRSqTB06FA8evQIAFClSnu8886nMqciKn4jRnSCj09NAMDNm7fw9ddfyZyIdBGLBSqVpk+fjq1btwIAzM3LYuDAIBgY8H8HKn0MDAywatXnMDVVAgB++mkp9uzZI3Mq0jX87UilzubNmzF16lQAgEKhwMcf/wp7+/LyhiKSUa1aFTF//hDp+ZAhAYiOjpYxEekaFgtUqhw4cAADBgyQnvfsORe+vp1lTESkG0aO7IKOHdXTWEdFPcbAgQOQnp4ucyrSFSwWqNQ4evQo3nnnHaSkpAAAGjZ8H4MHj5M5FZFuUCgUWL36czg4qKet3rdvP6ZPny5zKtIVLBaoVNi5cyc6d+4sTT1dt24PjB//CxQKhczJiHSHs3NZbNz4JQwM1P9ffPfdd9ixY4fMqUgXsFggvbds2TJ0795duiWsVq3OmDJlI4yNlTInI9I9bdp4YPbs9wGo50zp168fzp07J3MqkhuLBdJbCQkJCAgIwCeffAKVSgUA8PLqh2nTNsPExETmdES668sve6Ffv5YAgMTERHTp0hm3bt2SORXJicUC6aXQ0FA0btwYa9euldb5+X2FyZPXw8zMVMZkRLpPoVBgzZrRaNWqDgAgOvopfH1b48aNGzInI7mwWCC9kpCQgPHjx6NJkyYIDw8HABgbW+Cjj37DqFFzYWjIH3mivDAxUWLbtm/h7l4JAPDgwUO0atUSV65ckTkZyYG/OUkvqFQqrFu3DjVq1MDcuXOlyw7ly3ti7tzz6NZtwFv2QERvsrW1xKFDM1GvXmUA6lsqfXyaYffu3TIno+LGYoFKvJMnT6JJkyYYPHiwNHyzoaEx3nlnBn788SyqVq0pc0KiksvBoQwOH56FBg2qAgDi41+ga9eumDlzJsdhKEVYLFCJdefOHfTt2xctWrRAaGiotL5OnW5YsOAyhg79hnc8EGmBnZ01jhyZhV69mgJQ3yXx7bffwte3NSIiImROR8WBxQKVOImJifj2229Rq1Yt/P7779J6J6d6+Oqr/ZgzZzuqVGFrApE2WVqa4Y8/xmPatP7SOAwnTpxE3bp1MX/+fKSmpsqckIoSiwUqMYQQ2Lx5M2rXro2ZM2dKIzFaWNjj/fd/RmBgGFq08JM5JZH+MjAwwOTJ/XD06GxpOvfExER89dVX8Pb2wsmTJ2VOSEWFxQKVCNeuXUOHDh3Qp08f3Lt3DwBgaKiEv/9X+PnnG+jTZxiMjAxlTklUOrRoUQeXLi3BZ591kUZB/fffK2jRogWGDv0Qjx8/ljkhaRuLBdJpz58/x+jRo1G3bl3s379fWl+jRnssWPAvPvtsLqytbWRMSFQ6WVub48cfh+Ps2e/h7V1FWr9q1WpUq1YNs2bNkoZXp5KPxQLppFevXmHx4sWoVq0aFi9ejLS0NABAmTKV8dlnmzF//h5UqVJD5pRE1LBhdZw9uwCLF38EKyv1gGcvX77EN998g5o1a2D9+vW8a0IPsFggnZKSkoJffvkF7u7uGD16NGJiYgAASqUZOneejOXLr8LfvxcngCLSIYaGhhg1qhtu3PgZw4d3kDpA3r//AAMHDkSdOrWxevVqtjSUYAohhJA7REHFx8fDxsYGcXFxsLa2ljsOFcKNGzewevVqBAUFZbne2bDh+xg6dBbKl69QZMe/exeoUQNo334jgBcAnIrsWET67sqVe/jyy9X4++8LGuttbKzx3nv90bt3b7Rq1QrGxsYyJaT8YrFAshBC4Pz589i+fTv++usvXL58Ocs21aq1RUDAXHh4NCzyPCwWiLTvwIGLmDnzdxw58m+W1ywtLdCsWTM0btwEjRs3RuPGjeHkxP/vdBWLBSoWQgjcvn0bR48exdGjR3Hw4EE8fPgwy3YGBkaoV68H3n33S3h4NC62fCwWiIrO6dP/4eef9+D3308iMTElx+3Kl3eGh4cHPDzqo379+vDw8EDNmjWhVHJwNbmxWKAi8eTJE1y4cAFhYWG4cOECQkJCsi0OMlSu3BhNmryLTp0GoVw5x2JMqsZigajovXiRiN27z2PXrnPYv/8ioqJi3/oeY2Nj1KlT5/+LCA+piHBwcCj6wCSRvVgIDAzE/PnzERkZCXd3dyxatAgtW7bM03tZLMhHCIFnz57h5s2buHXrlvTfjOUnT57k+n4jI1NUr94WjRt3R4sWXeHoWL6YkmePxQJR8RJC4MGDpzh79gbOnr2Os2ev49KlCMTEJOTp/Y6ODvDw8ICrqxvKly+PChUqoEKFCrC3t0fZsmVha2sLGxsbGBpy/BVtkLVY2LRpEwYNGoTAwEA0b94cP//8M3755ReEh4ejcuXKb30/i4Wik5ycjKioKNy/fx8PHjzA/fv3pce9e/dw69YtxMfH53l/SqU53Nx8ULt2a3h6toaHR2MolSZF+Anyh8UCkfyEEHj48BkuX76DS5cicPnyHVy+HIFr1x4hPV1VoH3a2FjD1tYWtra2KFvWTlq2tbWFtbU1rK2tYWVlJS2/+dzCwgIGBrxxUNZioUmTJvD29sayZcukdbVr10aPHj0we/bst75f28VCeno6IiMjoVKpoFKpIISQlnN7ZLddxjohhMZy5nXZefOWwDefp6am4tWrV9Ij8/O3vZbxyPw883J8fDxiYmLw/PnzQt3iZG3tDAeHmnB19Ua1al6oVcsbLi41YGhoVOB9FjUWC0S6Kzn5FcLD7/9/8XAHly7dwqVLd/Ds2ctiOb66eLCClVX2BUV2y8bGxjAwMIChoSEMDAykR+bneVnOeGSwtbWFpaVlsXzuzGT77f3q1SucP38e48eP11jfvn17nDp1Ktv3pKSkSPMBAEBcXBwA5OtfuLl59OgRateurZV96TOFwgBlylSGnZ0b7O3d4OxcBU5ObqhY0Q3ly7vC1NQiy3tSUhJlSJp3SUlAQgIQH58IIBpAstyRiCiTatUMUa1aVfTqVRVAu/+/FJqAhw9jERkZi0ePYhEZGYfnzxMQG5uE2NgExMQkICYm8f+fJ0GlKti/jV+8eIEXL14AeKTVz1QQCxcuxIcffqjVfVpZWb197Bohk4cPHwoA4uTJkxrrZ86cKWrUqJHte6ZMmSIA8MEHH3zwwQcfWnrExcW99W+27O3Cb1YzQogcK5wJEyZg7Nix0nOVSoXnz5/Dzs4OL168QKVKlXD//n32X5BBfHw8z7/M+B3Ii+dffvwOCsbKyuqt28hWLJQrVw6GhoaIiorSWP/kyRM4OmZ/65yJiQlMTDQ7xZUpUwbA66Ij47oRyYPnX378DuTF8y8/fgfaJ1sXT2NjYzRo0EBjJkEA2L9/P3x8fGRKRURERG+S9TLE2LFjMWjQIDRs2BDNmjXDihUrcO/ePXz88cdyxiIiIqJMZC0W+vbti2fPnuG7775DZGQk6tati927d8PFxSXf+zIxMcGUKVOyXKag4sHzLz9+B/Li+Zcfv4OiI/sIjkRERKTbOCwVERER5YrFAhEREeWKxQIRERHlisUCERER5apEFwsxMTEYNGgQbGxsYGNjg0GDBiE2NjbX92zZsgUdOnRAuXLloFAocPHixWLJqg8CAwPh5uYGU1NTNGjQAMePH891+6NHj6JBgwYwNTVFlSpVsHz58mJKqr/y8x1ERkaif//+qFmzJgwMDDB69OjiC6qn8nP+t2zZAn9/f9jb28Pa2hrNmjXD3r17izGt/snP+T9x4gSaN28OOzs7mJmZoVatWvjhhx+KMa1+KdHFQv/+/XHx4kXs2bMHe/bswcWLFzFo0KBc35OQkIDmzZtjzpw5xZRSP2zatAmjR4/GN998g7CwMLRs2RKdOnXCvXv3st0+IiICnTt3RsuWLREWFoaJEydi1KhR2Lx5czEn1x/5/Q5SUlJgb2+Pb775BvXr1y/mtPonv+f/2LFj8Pf3x+7du3H+/Hm0adMG3bp1Q1hYWDEn1w/5Pf8WFhb49NNPcezYMVy9ehXffvstvv32W6xYsaKYk+uJwk8JJY/w8HABQJw+fVpaFxISIgCI//77763vj4iIEABEWFhYEabUH40bNxYff/yxxrpatWqJ8ePHZ7v9V199JWrVqqWxbvjw4aJp06ZFllHf5fc7yKx169bi888/L6JkpUNhzn+GOnXqiGnTpmk7WqmgjfPfs2dPMXDgQG1HKxVKbMtCSEgIbGxs0KRJE2ld06ZNYWNjk+MU11QwGdOJt2/fXmN9btOJh4SEZNm+Q4cOCA0NRWpqapFl1VcF+Q5Ie7Rx/lUqFV68eIGyZcsWRUS9po3zHxYWhlOnTqF169ZFEVHvldhiISoqCg4ODlnWOzg4ZJmcigrn6dOnSE9PzzLBl6OjY47nOioqKtvt09LS8PTp0yLLqq8K8h2Q9mjj/C9YsAAJCQn43//+VxQR9Vphzn/FihVhYmKChg0bYuTIkRg6dGhRRtVbOlcsTJ06FQqFItdHaGgogKzTWwO5T3FNhZOf6cRz2j679ZR3+f0OSLsKev6Dg4MxdepUbNq0Kdt/5FDeFOT8Hz9+HKGhoVi+fDkWLVqE4ODgooyot2SdGyI7n376Kfr165frNq6urrh8+TIeP36c5bXo6Ogcp7imginIdOJOTk7Zbm9kZAQ7O7siy6qvCvIdkPYU5vxv2rQJH374If744w/4+fkVZUy9VZjz7+bmBgCoV68eHj9+jKlTp+K9994rsqz6SudaFsqVK4datWrl+jA1NUWzZs0QFxeHs2fPSu89c+YM4uLiOMW1lhVkOvFmzZpl2X7fvn1o2LAhlEplkWXVV5zSXV4FPf/BwcEICAjAhg0b0KVLl6KOqbe09fMvhEBKSoq245UOMnauLLSOHTsKDw8PERISIkJCQkS9evVE165dNbapWbOm2LJli/T82bNnIiwsTOzatUsAEBs3bhRhYWEiMjKyuOOXKBs3bhRKpVKsWrVKhIeHi9GjRwsLCwtx584dIYQQ48ePF4MGDZK2v337tjA3NxdjxowR4eHhYtWqVUKpVIo///xTro9Q4uX3OxBCiLCwMBEWFiYaNGgg+vfvL8LCwsSVK1fkiF/i5ff8b9iwQRgZGYmlS5eKyMhI6REbGyvXRyjR8nv+f/rpJ7F9+3Zx/fp1cf36dbF69WphbW0tvvnmG7k+QolWoouFZ8+eiQEDBggrKythZWUlBgwYIGJiYjS2ASCCgoKk50FBQQJAlseUKVOKNXtJtHTpUuHi4iKMjY2Ft7e3OHr0qPTa4MGDRevWrTW2P3LkiPDy8hLGxsbC1dVVLFu2rJgT65/8fgfZ/ay7uLgUb2g9kp/z37p162zP/+DBg4s/uJ7Iz/n/8ccfhbu7uzA3NxfW1tbCy8tLBAYGivT0dBmSl3ycopqIiIhypXN9FoiIiEi3sFggIiKiXLFYICIiolyxWCAiIqJcsVggIiKiXLFYICIiolyxWCAiIqJcsVggIiKiXLFYICIiolyxWCAiIqJcsVggIiKiXLFYICIiolz9H39Px5zRk/OVAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(6,4))\n",
    "\n",
    "plot_region(posterior_samples,dist_type=\"Posterior\", ax=ax)\n",
    "\n",
    "sns.despine()\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过先前的贝叶斯因子计算公式，我们可以知道贝叶斯因子为先验概率比和后验概率比的比值：\n",
    "\n",
    "$$\n",
    "\\begin{align*}\n",
    "\\text{BF}_{10} &= \\frac{\\text{posterior odds}}{\\text{prior odds}} \n",
    "\\end{align*}\n",
    "$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "贝叶斯因子（BF 10）: 2.2992\n"
     ]
    }
   ],
   "source": [
    "BF_10 = (posterior_odds)/(prior_odds)\n",
    "\n",
    "print(f\"贝叶斯因子（BF 10）: {BF_10:.4f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "\n",
    "接下来我们将可视化先验和后验分布，从而清晰地展示出数据对零假设区域内外的支持度如何发生了变化："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import arviz as az\n",
    "import seaborn as sns\n",
    "\n",
    "# 绘制密度图\n",
    "plt.figure(figsize=(8, 5))\n",
    "\n",
    "# 绘制先验分布的密度曲线\n",
    "az.plot_kde(prior_samples, label=\"prior\", plot_kwargs={\"color\": \"cyan\", \"alpha\": 0.5}, fill_kwargs={\"alpha\": 0.3})\n",
    "\n",
    "# 绘制后验分布的密度曲线\n",
    "az.plot_kde(posterior_samples, label=\"posterior\", plot_kwargs={\"color\": \"coral\", \"alpha\": 0.6}, fill_kwargs={\"alpha\": 0.3})\n",
    "\n",
    "# 添加一条垂直虚线，表示零效应参考值（0）\n",
    "plt.axvline(0, color=\"grey\", linestyle=\"--\", linewidth=1)\n",
    "\n",
    "# 标注零假设区域\n",
    "plt.fill_betweenx([0, 8], -0.05, 0.05, color=\"blue\", alpha=0.2) \n",
    "\n",
    "# 设置x轴范围\n",
    "plt.xlim(-1,1)\n",
    "\n",
    "# 设置图例和标签\n",
    "plt.legend(title=\"Distribution\", loc=\"upper right\")\n",
    "plt.xlabel(\"beta_1\")\n",
    "plt.ylabel(\"Density\")\n",
    "plt.title(\"Prior and Posterior Distribution\")\n",
    "\n",
    "# 移除顶部和右侧边框\n",
    "sns.despine()\n",
    "\n",
    "# 显示图形\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "总结：通过可视化，可以发现先验分布的较大部分在零假设区域内，而后验分布则主要集中在零假设区域外，表明数据对备择假设（即  $\\beta_1 \\neq 0$）提供了支持，尽管支持的力度相对有限。\n",
    "\n",
    "同时，通过直接计算贝叶斯因子的结果也可得出：数据提供了 $2.3879$ 倍的证据证明 $\\beta_1$ 落在 $[-0.05, 0.05]$ 区间外的概率更大\n",
    "\n",
    "因此，比值直接计算的结果和可视化的结果基本是一致的，两者都表明数据对备择假设的支持存在，但并不非常强。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 练习: Directional hypotheses\n",
    "\n",
    "现在我们知道了数据支持在self和other条件下的反应时间有差异，而我们对于其效应的方向（正向或负向）有先验假设，即在“self”条件下的反应时间更短，\n",
    "\n",
    "那么我们可以通过Directional hypotheses 检验效应是否朝着我们预期的方向发展，计算方向假设（“单侧”）的贝叶斯因子。\n",
    "\n",
    "在本例中，我们希望测试的是在“self”条件下的反应时间是否比“other”条件更短，因此备择假设将限制在零假设（点或区间）的左侧区域，即更倾向负向的效果。\n",
    "\n",
    "那么 $H_1$: $\\beta_1 < 0$ 表示“self”条件下反应时间较短的情况。\n",
    "\n",
    "思考🤔：如何通过贝叶斯因子量化支持该假设的相对证据强度呢?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import arviz as az\n",
    "import seaborn as sns\n",
    "\n",
    "# 请直接运行，无需修改\n",
    "def calculate_odds(tace_samples, region = [-0.05, 0.05]):\n",
    "    \n",
    "    # 计算区间 [-0.05, 0.05] 内的样本\n",
    "    in_range = tace_samples[(tace_samples >= region[0]) & (tace_samples <= region[1])]\n",
    "\n",
    "    # 计算区间外的样本\n",
    "    out_of_range = tace_samples[(tace_samples < region[0]) | (tace_samples > region[1])]\n",
    "\n",
    "    # 计算区间内外的比例\n",
    "    P_in_range = len(in_range) / len(tace_samples)\n",
    "    P_out_of_range = len(out_of_range) / len(tace_samples)\n",
    "\n",
    "    # 计算比率\n",
    "    ratio = P_out_of_range / P_in_range\n",
    "    return ratio\n",
    "\n",
    "def plot_region(trace_samples, region=[-0.05,0.05], dist_type=\"Prior\", ax=None):\n",
    "    \n",
    "    if ax is None:\n",
    "        ax = plt.gca()\n",
    "    \n",
    "    kde = sns.kdeplot(trace_samples, color=\"black\", linewidth=2, ax=ax)\n",
    "\n",
    "    # 获取核密度估计的曲线数据\n",
    "    x, y = kde.get_lines()[0].get_data()\n",
    "\n",
    "    # 高亮 [-0.05, 0.05] 区间的密度\n",
    "    ax.fill_between(\n",
    "        x, y,\n",
    "        where=(x >= region[0]) & (x <= region[1]),\n",
    "        color=\"blue\",\n",
    "        alpha=0.3,\n",
    "        label=\"Null\"\n",
    "    )\n",
    "\n",
    "    # 高亮区间之外（替代区域）\n",
    "    ax.fill_between(\n",
    "        x, y,\n",
    "        where=(x < region[0]) | (x > region[1]),\n",
    "        color=\"yellow\",\n",
    "        alpha=0.3,\n",
    "        label=\"Alternative\"\n",
    "    )\n",
    "\n",
    "    # 图例和标题\n",
    "    ax.set_title(f\"{dist_type} Distribution with Null Region\")\n",
    "    ax.set_ylabel(\"Density\")\n",
    "    ax.legend(title=f\"{dist_type} regions\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#=====================================\n",
    "#      基于方向的贝叶斯因子计算\n",
    "#      自行练习\n",
    "#=====================================\n",
    "\n",
    "# 获取 beta_1的先验分布的采样\n",
    "# beta_1_prior = ...\n",
    "\n",
    "\n",
    "# 获取 beta_1的后验分布的采样\n",
    "# beta_1_posterior = ..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 定义区间\n",
    "from math import inf\n",
    "\n",
    "# region = ...\n",
    "\n",
    "# 计算先验比\n",
    "\n",
    "# prior_odds = ...\n",
    "\n",
    "# 计算后验比\n",
    "# prior_odds = ...\n",
    "\n",
    "# 计算贝叶斯因子\n",
    "# prior_odds = ...\n",
    "\n",
    "print(\"bayes_factor:\", bayes_factor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 最后检查结果，前面部分的代码运行无误后，请直接运行该代码块\n",
    "\n",
    "# 绘制密度图\n",
    "plt.figure(figsize=(8, 5))\n",
    "\n",
    "# 绘图\n",
    "az.plot_kde(beta_1_prior, label=\"prior\", plot_kwargs={\"color\": \"cyan\", \"alpha\": 0.5}, fill_kwargs={\"alpha\": 0.3})\n",
    "\n",
    "az.plot_kde(beta_1_posterior, label=\"posterior\", plot_kwargs={\"color\": \"coral\", \"alpha\": 0.6}, fill_kwargs={\"alpha\": 0.3})\n",
    "\n",
    "# 添加垂直虚线\n",
    "plt.axvline(0, color=\"grey\", linestyle=\"--\", linewidth=1)\n",
    "\n",
    "# 标注零假设区域\n",
    "plt.fill_betweenx([0, 8], -1, 0, color=\"blue\", alpha=0.2) \n",
    "\n",
    "plt.xlim(-1,1)\n",
    "\n",
    "# 设置图例和标签\n",
    "plt.legend(title=\"Distribution\", loc=\"upper right\")\n",
    "plt.xlabel(\"beta_1\")\n",
    "plt.ylabel(\"Density\")\n",
    "plt.title(\"Prior and Posterior Distribution\")\n",
    "\n",
    "sns.despine()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 总结\n",
    "贝叶斯因子较传统统计方法有很多优势，其中最突出的优势是对零假设和备择假设一视同仁。这一方面能够帮助研究者解决为零假设提供证据的问题，另一 方面还能帮助研究者拓宽思路，如本节课介绍了三种贝叶斯因子的计算与应用。\n",
    "\n",
    "与传统的 $p$ 值不同，贝叶斯因子不仅能够告诉我们是否拒绝零假设，还能展示数据支持哪一个假设的证据强度。\n",
    "\n",
    "最后，请大家不要谨慎看待 $p$ 值，$p$ 值并不教你相信/不相信什么，而只是为你修正自己的信念提供参考。\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 第二次小作业\n",
    "\n",
    "1. 针对选课同学：个人作业，每人会有相对应的被试编号数据，会将对应的被试编号信息发到班级qq群\n",
    "    - 评分方式：人工评审，70分为及格分，100分为满分\n",
    "    - 截止时间：11月30号12点前\n",
    "    - 提交方式：仅需提交notebook文件，作业具体要求请查阅课件，项目以“学号_姓名”的形式进行命名，如“232302013_张三”\n",
    "    - 其他：有问题咨询课程助教或老师\n",
    "\n",
    "\n",
    "2. 针对旁听同学：个人作业，自行选择“Kolvoort_2020_HBM_Exp1_Clean.csv”中的单个被试数据进行练习，不用提交"
   ]
  }
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